Solve the equation .

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Solve the equation 2cos⁡2x+sin⁡x−1=02\cos^{2} x + \sin x - 1 = 0. (i) Reduce the given equation to an equation involving a single trigonometric ratio of xx. (ii) Obtain all solutions in the interval −π≤x≤π-\pi \le x \le \pi. (iii) Write the general solution valid for all real xx.

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