What is arcsin(sin 2pi/3)?

1 Answer

Feb 14, 2016

$\frac{π}{3}$ $pi/3$

Explanation:

In sin x, x is multi-valued. The only value in the range $[- \frac{π}{2}, + \frac{π}{2}]$ $[ - pi/2, + pi/2]$ Is defined as arcsin(sin x). Here, use sin $(π - x)$ $(pi - x )$ = sin x to attain that value..

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What is arcsin(sin 2pi/3)?

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