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Question

Question: \(\sin\left( \frac{\pi}{6}i \right)\) is equal to...

sin⁡(π6i)\sin\left( \frac{\pi}{6}i \right) is equal to

A

−i2- \frac{i}{2}

B

i2\frac{i}{2}

C

i32i\frac{\sqrt{3}}{2}

D

−i32- i\frac{\sqrt{3}}{2}

Answer

i2\frac{i}{2}

Explanation

Solution

∵\because sin⁡h(π6i)=i.sin⁡π6=i.12=i2{\sin h}\left( \frac{\pi}{6}i \right) = i.\sin\frac{\pi}{6} = i.\frac{1}{2} = \frac{i}{2}.