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

Problem

Let θ=tan⁡−1(tan⁡5π4)\theta=\tan^{-1}\left(\tan\frac{5\pi}{4}\right) and ϕ=tan⁡−1(−tan⁡2π3)\phi=\tan^{-1}\left(-\tan\frac{2\pi}{3}\right). Then (1) θ>ϕ\theta>\phi (2) 4θ−3ϕ=04\theta-3\phi=0 (3) θ+ϕ=7π12\theta+\phi=\frac{7\pi}{12} (4) None of these

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