Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2^2-x-1=x^2-5*x-(-1-x^2)
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Equation (x^2-4)^2+(x^2-3*x-10)^2=0
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Equation 4x=24+x
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Equation (x+6)^3=25*(x+6)
- Express {x} in terms of y where:
- -11*x+6*y=4
- 16*x-17*y=-9
- 7*x-2*y=20
- 9*x-4*y=2
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Identical expressions
- i*sinz+cosz=i- one
- i multiply by sinus of z plus co sinus of e of z equally i minus 1
- i multiply by sinus of z plus co sinus of e of z equally i minus one
- isinz+cosz=i-1
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Similar expressions
- i*sinz+cosz=i+1
- isinz+cosz=i
- (242+72*i)*(382+72*i)-(139+72*i)*(139+72*i)=73123+24912*i
- i*sinz-cosz=i-1
- isinz+cosz=i-1
- e/p=-(u/p)-l*p*i-(1/(c*p))*(u/(p*r)+o/(c*p*r))
i*sinz+cosz=i-1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
I*sin(z) + cos(z) = I - 1
$$i \sin{\left(z \right)} + \cos{\left(z \right)} = -1 + i$$
The graph
Sum and product of roots
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sum
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
=
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
product
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
=
2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
2*re(atan(2 - i)) + 2*i*im(atan(2 - i))
Rapid solution
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z1 = 2*re(atan(2 - I)) + 2*I*im(atan(2 - I))
$$z_{1} = 2 \operatorname{re}{\left(\operatorname{atan}{\left(2 - i \right)}\right)} + 2 i \operatorname{im}{\left(\operatorname{atan}{\left(2 - i \right)}\right)}$$
z1 = 2*re(atan(2 - i)) + 2*i*im(atan(2 - i))
Numerical answer
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z1 = -91.8915851175014 - 0.346573590279973*i
z2 = 71.4712328691678 - 0.346573590279973*i
z3 = 46.3384916404494 - 0.346573590279973*i
z4 = 14.9225651045515 - 0.346573590279973*i
z5 = -10.2101761241668 - 0.346573590279973*i
z6 = 2.35619449019234 - 0.346573590279973*i
z7 = 90.3207887907066 - 0.346573590279973*i
z8 = -54.1924732744239 - 0.346573590279973*i
z9 = -66.7588438887831 - 0.346573590279973*i
z10 = -85.6083998103219 - 0.346573590279973*i
z11 = -60.4756585816035 - 0.346573590279973*i
z12 = 21.2057504117311 - 0.346573590279973*i
z13 = 58.9048622548086 - 0.346573590279973*i
z14 = -22.776546738526 - 0.346573590279973*i
z15 = -98.174770424681 - 0.346573590279973*i
z16 = -47.9092879672443 - 0.346573590279973*i
z17 = 8.63937979737193 - 0.346573590279973*i
z18 = -35.3429173528852 - 0.346573590279973*i
z19 = 33.7721210260903 - 0.346573590279973*i
z20 = 40.0553063332699 - 0.346573590279973*i
z21 = -3.92699081698724 - 0.346573590279973*i
z22 = 96.6039740978861 - 0.346573590279973*i
z23 = 52.621676947629 - 0.346573590279973*i
z24 = 27.4889357189107 - 0.346573590279973*i
z25 = 84.037603483527 - 0.346573590279973*i
z26 = -73.0420291959627 - 0.346573590279973*i
z27 = -41.6261026600648 - 0.346573590279973*i
z28 = 65.1880475619882 - 0.346573590279973*i
z29 = -16.4933614313464 - 0.346573590279973*i
z30 = 77.7544181763474 - 0.346573590279973*i
z31 = -29.0597320457056 - 0.346573590279973*i
z32 = -79.3252145031423 - 0.346573590279973*i
z32 = -79.3252145031423 - 0.346573590279973*i