Find the number of solutions of 5 3 = 9 7 , [0, 2 ].

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Find the number of solutions of sin⁡5θcos⁡3θ=sin⁡9θcos⁡7θ,θ∈[0,π2].\sin5\theta\cos3\theta=\sin9\theta\cos7\theta,\qquad \theta\in\left[0,\frac{\pi}{2}\right].

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