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Een vertaalprobleem melden
cis(theta) = cos(theta) + i sin(theta)
where "theta" is the angle in radians, "cos(theta)" is the real part of the complex number, and "i sin(theta)" is the imaginary part.
So, if you have a complex number written in the form "r cis(theta)", you can convert it to standard form by multiplying each part by the corresponding trigonometric function:
r cis(theta) = r cos(theta) + r i sin(theta) = r cos(theta) + i r sin(theta) = real + imaginary i
where "real" is the real part of the complex number, and "imaginary" is the imaginary part.
For example, if you have the complex number 4 cis(80), you can convert it to standard form as follows:
4 cis(80) = 4 cos(80) + 4 i sin(80) = 113.8 + 645.4 i
This is the standard form representation of the complex number.