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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
In a △ABC,∠A=π2\triangle A B C, \angle A=\frac{\pi}{2}, then cos⁡2B+cos⁡2C\cos ^2 B+\cos ^2 C is equal to
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Correct option: B
1
Option B (1) is correct because when ∠A=π2\angle A = \frac{\pi}{2}, angles B and C are complementary, so cos⁡C=sin⁡B\cos C = \sin B, and cos⁡2B+sin⁡2B=1\cos^2 B + \sin^2 B = 1.

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