What is the trigonometric form of $3 e^{\frac{π}{2} i}$ $3 e^( ( pi)/2 i )$ ?

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Answer 1 · 2016-03-02T10:03:16

$3 i$ $3i$

Trigonometric form of $3 e^{\frac{π}{2} i}$ $3e^(pi/2i)$ can be written as

$3 \times (cos (\frac{π}{2}) + i sin (\frac{π}{2}))$ $3xx(cos(pi/2)+isin(pi/2))$

But as $cos (\frac{π}{2}) = 0$ $cos(pi/2)=0$ and $sin (\frac{π}{2}) = 1$ $sin(pi/2)=1$ , this can be simplified to

$3 \times (0 + i \times 1)$ $3xx(0+ixx1)$ or $3 i$ $3i$

What is the trigonometric form of 3eπ2i3 e^( ( pi)/2 i ) ?