Solve the trigonometric equation .

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

Problem

Solve the trigonometric equation cos⁡2x=−32\cos 2x = -\dfrac{\sqrt 3}{2}. (i) Find all solutions in the interval 0≤x<2π0 \le x < 2\pi. (ii) Express the complete set of real solutions in general form. (iii) Verify any one of the solutions obtained in part (i) by direct substitution into the original equation.

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