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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If sin⁡A+cos⁡A=2\sin A+\cos A=\sqrt{2}, then the value of cos⁡2A\cos ^2 A is
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Correct option: B
1/21 / 2
Option B (1/2) is correct because by solving the given equation for A, we find A = π/4\pi/4, and then cos⁡2A\cos^2 A can be easily calculated.

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