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How do you sin(pi)^(210)/360+cos(20*pi)/360/(1/2)*cot(10*pi)/360 in partial fractions?

An expression to simplify:

The solution

You have entered [src]
             /cos(20*pi)\           
             |----------|           
             \   360    /           
   210       ------------*cot(10*pi)
sin   (pi)       1/2                
---------- + -----------------------
   360                 360          
/cos(20*pi)\ |----------| \ 360 / 210 ------------*cot(10*pi) sin (pi) 1/2 ---------- + ----------------------- 360 360
sin(pi)^210/360 + (((cos(20*pi)/360)/(1/2))*cot(10*pi))/360
Fraction decomposition [src]
cot(10*pi)/64800
$$\frac{\cot{\left(10 \pi \right)}}{64800}$$
cot(10*pi)
----------
  64800   
General simplification [src]
zoo
$$\tilde{\infty}$$
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Numerical answer [src]
1.82272110384867e+20
1.82272110384867e+20
Powers [src]
zoo
$$\tilde{\infty}$$
±oo
Combinatorics [src]
zoo
$$\tilde{\infty}$$
±oo
Trigonometric part [src]
zoo
$$\tilde{\infty}$$
   210/pi\                   
cos   |--|                   
      \2 /          1        
---------- + ----------------
   360                /19*pi\
             64800*cos|-----|
                      \  2  /
$$\frac{\cos^{210}{\left(\frac{\pi}{2} \right)}}{360} + \frac{1}{64800 \cos{\left(\frac{19 \pi}{2} \right)}}$$
nan
$$\text{NaN}$$
nan
Rational denominator [src]
zoo
$$\tilde{\infty}$$
±oo
Expand expression [src]
nan
$$\text{NaN}$$
nan
Common denominator [src]
   210                            
sin   (pi)   cos(20*pi)*cot(10*pi)
---------- + ---------------------
   360               64800        
$$\frac{\cos{\left(20 \pi \right)} \cot{\left(10 \pi \right)}}{64800} + \frac{\sin^{210}{\left(\pi \right)}}{360}$$
sin(pi)^210/360 + cos(20*pi)*cot(10*pi)/64800
Combining rational expressions [src]
zoo
$$\tilde{\infty}$$
±oo