JEE Main 202628 Jan, Morning shiftMathematicsMediumTrigonometry118× since 2002If k=tan(π4+12cos−1(23))+tan(12sin−1(23))k=\tan\left(\frac\pi4+\frac12\cos^{-1}\left(\frac23\right)\right)+\tan\left(\frac12\sin^{-1}\left(\frac23\right)\right)k=tan(4π+21cos−1(32))+tan(21sin−1(32)), then the number of solutions of the equation sin−1(kx−1)=sin−1x−cos−1x\sin^{-1}(kx-1)=\sin^{-1}x-\cos^{-1}xsin−1(kx−1)=sin−1x−cos−1x is ______Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
