Mathematics

Mathematics

Problem

If 1+2sin⁡x+3sin⁡2x+4sin⁡3x+…1 + 2 \sin x + 3 \sin^2 x + 4 \sin^3 x + \dots upto infinite terms = 4 and number of solutions of the equation in [−3π2,4π]\left[-\frac{3\pi}{2}, 4\pi\right] is kk. Sum of all internal angles of a kk -sided regular polygon is a. 5π5\pi b. 4π4\pi c. 3π3\pi d. 2π2\pi

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