How do you evaluate $arcsin (- \frac{\sqrt{3}}{2})$ $arcsin(-sqrt3/2)$ ?

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How do you evaluate $arcsin (- \frac{\sqrt{3}}{2})$ $arcsin(-sqrt3/2)$ ?

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Answer 1 · 2015-07-28T19:03:18

Find $arcsin (- \frac{\sqrt{3}}{2})$ $arcsin (-sqrt3/2)$

Explanation:

Trig table --> $sin x = \frac{\sqrt{3}}{2}$ $sin x = sqrt3/2$ --> $x = \frac{π}{3} and \frac{2 π}{3}$ $x = pi/3 and (2pi)/3$
Therefor,
$sin x = (- \frac{\sqrt{3}}{2})$ $sin x = (-sqrt3/2)$ --> $x = - \frac{π}{3}$ $x = - pi/3$ and $- \frac{2 π}{3}$ $-(2pi)/3$

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How do you evaluate $arcsin (- \frac{\sqrt{3}}{2})$ $arcsin(-sqrt3/2)$ ?

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How do you evaluate $arcsin (- \frac{\sqrt{3}}{2})$ $arcsin(-sqrt3/2)$ ?