What is the trigonometric form of $12 e^{\frac{5 π}{2} i}$ $12 e^( ( 5 pi)/2 i )$ ?

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What is the trigonometric form of $12 e^{\frac{5 π}{2} i}$ $12 e^( ( 5 pi)/2 i )$ ?

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Answer 1 · 2016-12-12T02:02:44

Trigonometric form of $12 e^{(\frac{5 π}{2} i)}$ $12e^(((5pi)/2i)$ is $12 cos (\frac{5 π}{12}) + i 12 sin (\frac{5 π}{2})$ $12cos((5pi)/12)+i12sin((5pi)/2)$

Explanation:

The trigonometric form of a complex number $z = r e^{i θ}$ $z=re^(itheta)$ is

$z = r cos θ + i r sin θ$ $z=rcostheta+irsintheta$

Hence trigonometric form of $12 e^{(\frac{5 π}{2} i)}$ $12e^(((5pi)/2i)$ is

$12 cos (\frac{5 π}{12}) + i 12 sin (\frac{5 π}{2})$ $12cos((5pi)/12)+i12sin((5pi)/2)$

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What is the trigonometric form of $12 e^{\frac{5 π}{2} i}$ $12 e^( ( 5 pi)/2 i )$ ?

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What is the trigonometric form of $12 e^{\frac{5 π}{2} i}$ $12 e^( ( 5 pi)/2 i )$ ?