Mister Exam
Other calculators
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How to use it?
- Least common denominator:
- ((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
- a/(a+b)+a^2/(b^2-a^2)
- sin(3*x)/6+(2*x*sin(2*x)+cos(2*x))/4+sin(x)/2
- pi/(sqrt(1-x^2)*(exp(x)-log(x)))+pi*(1/x-exp(x))*asin(x)/(exp(x)-log(x))^2
- Factor polynomial:
- x^2+x-2
- x^4+x^3
- x+x^8/8
- m^3+27*n^3
- Factor squared:
- -y^4-8*y^2-8
- -y^2-2*y*b+b^2
- x^2-x-6
- x^2+x+6
- How do you in partial fractions?:
- (z/(z+6)*(z+6))-(z/(z-6)*(z+6))
- (a^2-9)/(15+5*a)
- b^9*b^7*b^2/(b^3*b^(1^9)*b^8)
- (z^2-6*z-16)/(z^2-4*z-12)
-
Identical expressions
- cos(p- two)*tan(two *p+ two)/cos(three *p/ two + two)
- co sinus of e of (p minus 2) multiply by tangent of (2 multiply by p plus 2) divide by co sinus of e of (3 multiply by p divide by 2 plus 2)
- co sinus of e of (p minus two) multiply by tangent of (two multiply by p plus two) divide by co sinus of e of (three multiply by p divide by two plus two)
- cos(p-2)tan(2p+2)/cos(3p/2+2)
- cosp-2tan2p+2/cos3p/2+2
- cos(p-2)*tan(2*p+2) divide by cos(3*p divide by 2+2)
-
Similar expressions
- cos(p-2)*tan(2*p+2)/cos(3*p/2-2)
- cos(p+2)*tan(2*p+2)/cos(3*p/2+2)
- cos(p-2)*tan(2*p-2)/cos(3*p/2+2)
Least common denominator cos(p-2)*tan(2*p+2)/cos(3*p/2+2)
The solution
You have entered
[src]
cos(p - 2)*tan(2*p + 2)
-----------------------
/3*p \
cos|--- + 2|
\ 2 /
$$\frac{\cos{\left(p - 2 \right)} \tan{\left(2 p + 2 \right)}}{\cos{\left(\frac{3 p}{2} + 2 \right)}}$$
(cos(p - 2)*tan(2*p + 2))/cos((3*p)/2 + 2)
Numerical answer
[src]
cos(p - 2)*tan(2*p + 2)/cos((3*p)/2 + 2)
cos(p - 2)*tan(2*p + 2)/cos((3*p)/2 + 2)
Powers
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/ I*(-2 + p) I*(2 - p)\ |e e | / I*(2 + 2*p) I*(-2 - 2*p)\ I*|----------- + ----------|*\- e + e / \ 2 2 / ------------------------------------------------------------- / / 3*p\ / 3*p\\ | I*|-2 - ---| I*|2 + ---|| | \ 2 / \ 2 /| |e e | / I*(-2 - 2*p) I*(2 + 2*p)\ |------------- + ------------|*\e + e / \ 2 2 /
$$\frac{i \left(\frac{e^{i \left(2 - p\right)}}{2} + \frac{e^{i \left(p - 2\right)}}{2}\right) \left(e^{i \left(- 2 p - 2\right)} - e^{i \left(2 p + 2\right)}\right)}{\left(e^{i \left(- 2 p - 2\right)} + e^{i \left(2 p + 2\right)}\right) \left(\frac{e^{i \left(- \frac{3 p}{2} - 2\right)}}{2} + \frac{e^{i \left(\frac{3 p}{2} + 2\right)}}{2}\right)}$$
i*(exp(i*(-2 + p))/2 + exp(i*(2 - p))/2)*(-exp(i*(2 + 2*p)) + exp(i*(-2 - 2*p)))/((exp(i*(-2 - 3*p/2))/2 + exp(i*(2 + 3*p/2))/2)*(exp(i*(-2 - 2*p)) + exp(i*(2 + 2*p))))
Combining rational expressions
[src]
cos(-2 + p)*tan(2*(1 + p))
--------------------------
/4 + 3*p\
cos|-------|
\ 2 /
$$\frac{\cos{\left(p - 2 \right)} \tan{\left(2 \left(p + 1\right) \right)}}{\cos{\left(\frac{3 p + 4}{2} \right)}}$$
cos(-2 + p)*tan(2*(1 + p))/cos((4 + 3*p)/2)
Expand expression
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2 2
2*cos(p)*tan(1) 2*cos(p)*tan(p) 4*cos (1)*cos(p)*tan(1) 4*cos (1)*cos(p)*tan(p) 4*cos(1)*sin(1)*sin(p)*tan(1) 4*cos(1)*sin(1)*sin(p)*tan(p)
- --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 /3*p\ /3*p\ 2 /3*p\ 2 3 /3*p\ 3 /3*p\ /3*p\ 3 /3*p\ /3*p\ 2 /3*p\ 2 3 /3*p\ 3 /3*p\ /3*p\ 3 /3*p\ /3*p\ 2 /3*p\ 2 3 /3*p\ 3 /3*p\ /3*p\ 3 /3*p\ /3*p\ 2 /3*p\ 2 3 /3*p\ 3 /3*p\ /3*p\ 3 /3*p\ /3*p\ 2 /3*p\ 2 3 /3*p\ 3 /3*p\ /3*p\ 3 /3*p\ /3*p\ 2 /3*p\ 2 3 /3*p\ 3 /3*p\ /3*p\
4*tan (1)*cos|---|*tan(p) 4*cos|---|*tan(1)*tan(p) 8*cos (1)*cos|---|*tan(1)*tan(p) 8*cos (1)*tan (1)*cos|---|*tan(p) 8*tan (1)*cos(1)*sin(1)*sin|---|*tan(p) 8*cos(1)*sin(1)*sin|---|*tan(1)*tan(p) 4*tan (p)*cos|---|*tan(1) 4*cos|---|*tan(1)*tan(p) 8*cos (1)*cos|---|*tan(1)*tan(p) 8*cos (1)*tan (p)*cos|---|*tan(1) 8*tan (p)*cos(1)*sin(1)*sin|---|*tan(1) 8*cos(1)*sin(1)*sin|---|*tan(1)*tan(p) 4*tan (1)*cos|---|*tan(p) 4*cos|---|*tan(1)*tan(p) 8*cos (1)*cos|---|*tan(1)*tan(p) 8*cos (1)*tan (1)*cos|---|*tan(p) 8*tan (1)*cos(1)*sin(1)*sin|---|*tan(p) 8*cos(1)*sin(1)*sin|---|*tan(1)*tan(p) 4*tan (p)*cos|---|*tan(1) 4*cos|---|*tan(1)*tan(p) 8*cos (1)*cos|---|*tan(1)*tan(p) 8*cos (1)*tan (p)*cos|---|*tan(1) 8*tan (p)*cos(1)*sin(1)*sin|---|*tan(1) 8*cos(1)*sin(1)*sin|---|*tan(1)*tan(p) 4*tan (1)*cos|---|*tan(p) 4*cos|---|*tan(1)*tan(p) 8*cos (1)*cos|---|*tan(1)*tan(p) 8*cos (1)*tan (1)*cos|---|*tan(p) 8*tan (1)*cos(1)*sin(1)*sin|---|*tan(p) 8*cos(1)*sin(1)*sin|---|*tan(1)*tan(p) 4*tan (p)*cos|---|*tan(1) 4*cos|---|*tan(1)*tan(p) 8*cos (1)*cos|---|*tan(1)*tan(p) 8*cos (1)*tan (p)*cos|---|*tan(1) 8*tan (p)*cos(1)*sin(1)*sin|---|*tan(1) 8*cos(1)*sin(1)*sin|---|*tan(1)*tan(p)
/3*p\ 2 /3*p\ 2 /3*p\ 2 2 /3*p\ /3*p\ \ 2 / 2 /3*p\ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / /3*p\ 2 /3*p\ 2 /3*p\ 2 2 /3*p\ /3*p\ \ 2 / 2 /3*p\ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / /3*p\ 2 /3*p\ 2 /3*p\ 2 2 /3*p\ /3*p\ \ 2 / 2 /3*p\ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / /3*p\ 2 /3*p\ 2 /3*p\ 2 2 /3*p\ /3*p\ \ 2 / 2 /3*p\ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / /3*p\ 2 /3*p\ 2 /3*p\ 2 2 /3*p\ /3*p\ \ 2 / 2 /3*p\ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / /3*p\ 2 /3*p\ 2 /3*p\ 2 2 /3*p\ /3*p\ \ 2 / 2 /3*p\ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
- cos|---| + tan (1)*cos|---| + 2*cos (1)*cos|---| - 2*cos (1)*tan (1)*cos|---| - 2*cos(1)*sin(1)*sin|---| - --------------------------------------- + 2*tan (1)*cos(1)*sin(1)*sin|---| + --------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + --------------------------------------- - cos|---| + tan (p)*cos|---| + 2*cos (1)*cos|---| - 2*cos (1)*tan (p)*cos|---| - 2*cos(1)*sin(1)*sin|---| - --------------------------------------- + 2*tan (p)*cos(1)*sin(1)*sin|---| + --------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + --------------------------------------- - cos|---| + tan (1)*cos|---| + 2*cos (1)*cos|---| - 2*cos (1)*tan (1)*cos|---| - 2*cos(1)*sin(1)*sin|---| - --------------------------------------- + 2*tan (1)*cos(1)*sin(1)*sin|---| + --------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + --------------------------------------- - cos|---| + tan (p)*cos|---| + 2*cos (1)*cos|---| - 2*cos (1)*tan (p)*cos|---| - 2*cos(1)*sin(1)*sin|---| - --------------------------------------- + 2*tan (p)*cos(1)*sin(1)*sin|---| + --------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + --------------------------------------- - cos|---| + tan (1)*cos|---| + 2*cos (1)*cos|---| - 2*cos (1)*tan (1)*cos|---| - 2*cos(1)*sin(1)*sin|---| - --------------------------------------- + 2*tan (1)*cos(1)*sin(1)*sin|---| + --------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + --------------------------------------- - cos|---| + tan (p)*cos|---| + 2*cos (1)*cos|---| - 2*cos (1)*tan (p)*cos|---| - 2*cos(1)*sin(1)*sin|---| - --------------------------------------- + 2*tan (p)*cos(1)*sin(1)*sin|---| + --------------------------------------- - --------------------------------------- + --------------------------------------- - --------------------------------------- + ---------------------------------------
\ 2 / \ 2 / \ 2 / \ 2 / \ 2 / 2 2 2 2 \ 2 / 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / 2 2 2 2 \ 2 / 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / 2 2 2 2 \ 2 / 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / 2 2 2 2 \ 2 / 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / 2 2 2 2 \ 2 / 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / 2 2 2 2 \ 2 / 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p) 1 - tan (1) - tan (p) + tan (1)*tan (p)
$$\frac{4 \sin{\left(1 \right)} \sin{\left(p \right)} \cos{\left(1 \right)} \tan{\left(p \right)}}{2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{2}{\left(p \right)} - 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} - 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(p \right)} + \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(p \right)} - \cos{\left(\frac{3 p}{2} \right)} + 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} - \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1}} - \frac{2 \cos{\left(p \right)} \tan{\left(p \right)}}{2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{2}{\left(p \right)} - 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} - 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(p \right)} + \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(p \right)} - \cos{\left(\frac{3 p}{2} \right)} + 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} - \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1}} + \frac{4 \cos^{2}{\left(1 \right)} \cos{\left(p \right)} \tan{\left(p \right)}}{2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{2}{\left(p \right)} - 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} - 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(p \right)} + \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(p \right)} - \cos{\left(\frac{3 p}{2} \right)} + 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} - \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan^{3}{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1}} + \frac{4 \sin{\left(1 \right)} \sin{\left(p \right)} \cos{\left(1 \right)} \tan{\left(1 \right)}}{- 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} + 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{2}{\left(1 \right)} - 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(1 \right)} - \cos{\left(\frac{3 p}{2} \right)} + 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} + \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(1 \right)} - \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1}} - \frac{2 \cos{\left(p \right)} \tan{\left(1 \right)}}{- 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} + 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{2}{\left(1 \right)} - 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(1 \right)} - \cos{\left(\frac{3 p}{2} \right)} + 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} + \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(1 \right)} - \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1}} + \frac{4 \cos^{2}{\left(1 \right)} \cos{\left(p \right)} \tan{\left(1 \right)}}{- 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} + 2 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{2}{\left(1 \right)} - 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(1 \right)} - \cos{\left(\frac{3 p}{2} \right)} + 2 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} + \cos{\left(\frac{3 p}{2} \right)} \tan^{2}{\left(1 \right)} - \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \sin{\left(1 \right)} \sin{\left(\frac{3 p}{2} \right)} \cos{\left(1 \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} - \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{4 \cos{\left(\frac{3 p}{2} \right)} \tan{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1} + \frac{8 \cos^{2}{\left(1 \right)} \cos{\left(\frac{3 p}{2} \right)} \tan^{3}{\left(1 \right)} \tan{\left(p \right)}}{- \tan^{2}{\left(p \right)} + \tan^{2}{\left(1 \right)} \tan^{2}{\left(p \right)} - \tan^{2}{\left(1 \right)} + 1}}$$
-2*cos(p)*tan(1)/(-cos(3*p/2) + tan(1)^2*cos(3*p/2) + 2*cos(1)^2*cos(3*p/2) - 2*cos(1)^2*tan(1)^2*cos(3*p/2) - 2*cos(1)*sin(1)*sin(3*p/2) - 4*tan(1)^3*cos(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 2*tan(1)^2*cos(1)*sin(1)*sin(3*p/2) + 4*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*cos(1)^2*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)^2*tan(1)^3*cos(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*tan(1)^3*cos(1)*sin(1)*sin(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)*sin(1)*sin(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2)) - 2*cos(p)*tan(p)/(-cos(3*p/2) + tan(p)^2*cos(3*p/2) + 2*cos(1)^2*cos(3*p/2) - 2*cos(1)^2*tan(p)^2*cos(3*p/2) - 2*cos(1)*sin(1)*sin(3*p/2) - 4*tan(p)^3*cos(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 2*tan(p)^2*cos(1)*sin(1)*sin(3*p/2) + 4*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*cos(1)^2*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)^2*tan(p)^3*cos(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*tan(p)^3*cos(1)*sin(1)*sin(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)*sin(1)*sin(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2)) + 4*cos(1)^2*cos(p)*tan(1)/(-cos(3*p/2) + tan(1)^2*cos(3*p/2) + 2*cos(1)^2*cos(3*p/2) - 2*cos(1)^2*tan(1)^2*cos(3*p/2) - 2*cos(1)*sin(1)*sin(3*p/2) - 4*tan(1)^3*cos(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 2*tan(1)^2*cos(1)*sin(1)*sin(3*p/2) + 4*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*cos(1)^2*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)^2*tan(1)^3*cos(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*tan(1)^3*cos(1)*sin(1)*sin(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)*sin(1)*sin(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2)) + 4*cos(1)^2*cos(p)*tan(p)/(-cos(3*p/2) + tan(p)^2*cos(3*p/2) + 2*cos(1)^2*cos(3*p/2) - 2*cos(1)^2*tan(p)^2*cos(3*p/2) - 2*cos(1)*sin(1)*sin(3*p/2) - 4*tan(p)^3*cos(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 2*tan(p)^2*cos(1)*sin(1)*sin(3*p/2) + 4*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*cos(1)^2*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)^2*tan(p)^3*cos(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*tan(p)^3*cos(1)*sin(1)*sin(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)*sin(1)*sin(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2)) + 4*cos(1)*sin(1)*sin(p)*tan(1)/(-cos(3*p/2) + tan(1)^2*cos(3*p/2) + 2*cos(1)^2*cos(3*p/2) - 2*cos(1)^2*tan(1)^2*cos(3*p/2) - 2*cos(1)*sin(1)*sin(3*p/2) - 4*tan(1)^3*cos(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 2*tan(1)^2*cos(1)*sin(1)*sin(3*p/2) + 4*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*cos(1)^2*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)^2*tan(1)^3*cos(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*tan(1)^3*cos(1)*sin(1)*sin(3*p/2)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)*sin(1)*sin(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2)) + 4*cos(1)*sin(1)*sin(p)*tan(p)/(-cos(3*p/2) + tan(p)^2*cos(3*p/2) + 2*cos(1)^2*cos(3*p/2) - 2*cos(1)^2*tan(p)^2*cos(3*p/2) - 2*cos(1)*sin(1)*sin(3*p/2) - 4*tan(p)^3*cos(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 2*tan(p)^2*cos(1)*sin(1)*sin(3*p/2) + 4*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*cos(1)^2*cos(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)^2*tan(p)^3*cos(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) - 8*tan(p)^3*cos(1)*sin(1)*sin(3*p/2)*tan(1)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2) + 8*cos(1)*sin(1)*sin(3*p/2)*tan(1)*tan(p)/(1 - tan(1)^2 - tan(p)^2 + tan(1)^2*tan(p)^2))
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