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MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If f(x)=x11+x9−x7+x3+1f(x)=x^{11}+x^9-x^7+x^3+1 and f(sin⁡−1(sin⁡8))=αf(\sin^{-1}(\sin8))=\alpha, then f(tan⁡−1(tan⁡8))f(\tan^{-1}(\tan8)) is equal to (1) α\alpha (2) α−2\alpha-2 (3) α+2\alpha+2 (4) 2−α2-\alpha

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