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anonymous
 3 years ago
write (cos pi/4+ i sin pi/4)^3 in trigonometric form
anonymous
 3 years ago
write (cos pi/4+ i sin pi/4)^3 in trigonometric form

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0multiply the angle by three

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\cos(\frac{3\pi}{4})+i\sin(\frac{3\pi}{4})\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0you also have to cube the modulus, but since it is one you just get one, so you can ignore that part now if you want to write this in standard form as \(a+bi\) evaluate the functions and see what you get

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[(\cos(\theta)+i\sin(\theta))^n=\cos(n\theta)+i\sin(n\theta)\] that is what makes this so easy
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