Find the number of solutions of the equation .

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

Problem

Find the number of solutions of the equation tan⁡(∑r=15cot⁡−1(2r2))=5x+66x+5\tan\left(\sum_{r=1}^{5} \cot^{-1}(2r^2)\right) = \frac{5x+6}{6x+5} .

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