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The value of x that satisfies $tan^{-1}(tan 3)=tan^2x$, is |
$\frac{\pi}{3}$ $-\frac{\pi}{3}$ $\sqrt{tan^{-1}3}$ none of these |
none of these |
We have, $tan^{-1}(tan 3) = tan^{-1}\begin{Bmatrix}tan (3 - \pi )\end{Bmatrix}= 3 - \pi < 0$ and, $tan^2 x ≥ 0$ $∴ tan^{-1}(tan 3) = tan^2 x $ has no solution. |
