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 . The value of kk is equal to a. 4 b. 5 c. 6 d. 7

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