Justify that the principal value of is and not .

MATHEMATICS · Subjective · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Justify that the principal value of

\arcsin\!\left(-\dfrac{\sqrt3}{2}\right)

is

-\dfrac{\pi}{3}

and not

\dfrac{2\pi}{3}

.

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