If k = tan(π/4 + 1/2 cos⁻¹(2/3 ... | Inverse Trigonometry | JEE Main 2026

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JEE MAIN 2026

28-1-2026 S1

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If $k=\tan \left(\frac{\pi}{4}+\frac{1}{2} \cos ^{-1}\left(\frac{2}{3}\right)\right)+\tan \left(\frac{1}{2} \sin ^{-1}\left(\frac{2}{3}\right)\right)$, then the number of solutions of the equation $\sin ^{-1}(k x-1)=\sin ^{-1} x-\cos ^{-1} x$ is $\_\_\_\_$

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