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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If sin⁡x+sin⁡2x−1\sin x+\sin ^2 x-1, then cos⁡14x+3cos⁡10x+3sin⁡4x+\cos ^{14} x+3 \cos ^{10} x+3 \sin ^4 x+ cos⁡4x\cos ^4 x is equal to
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Correct option: A
1
Option A (1) is correct because the given condition leads to sin⁡x=cos⁡2x\sin x = \cos^2 x, and substituting this into the expression simplifies it to 1.

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