Find the set of values of for which has a solution.

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

Problem

Find the set of values of KK for which sin⁡−1(11+sin⁡2x)=Kπ6\sin^{-1}\left(\frac{1}{1+\sin^2x}\right)=\frac{K\pi}{6} has a solution.

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