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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
If 5cos⁡  2θ+2cos⁡2θ2+1=0,  −π<θ<π5\cos \,\,2\theta + 2{\cos ^2}\frac{\theta }{2} + 1 = 0,\; - \pi < \theta < \pi, then θ\theta is equal to

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Correct option: D
π3,   π−cos⁡−1(35)\frac{\pi }{3},\;\,\pi - {\cos ^{ - 1}}\left( {\frac{3}{5}} \right)
Option D (π3,   π−cos⁡−1(35)\frac{\pi }{3},\;\,\pi - {\cos ^{ - 1}}\left( {\frac{3}{5}} \right)) is correct because it represents the solutions obtained by solving the given trigonometric equation within the specified interval.

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