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  4. If tan ( cos -1 x )= sin ( cot -1 1 / 2) then x is equal to -

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Q. If $\tan \left(\cos ^{-1} x \right)=\sin \left(\cot ^{-1} 1 / 2\right)$ then $x$ is equal to -

Inverse Trigonometric Functions

Solution:

Correct answer is (d) $\sqrt{5} / 3$