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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If cos⁡x+cos⁡2x=1\cos x+\cos ^2 x=1, then the value of sin⁡12x+\sin ^{12} x+ 3sin⁡10x+3sin⁡8x+sin⁡6x−13 \sin ^{10} x+3 \sin ^8 x+\sin ^6 x-1 is equal to
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Correct option: D
0
Option D (0) is correct because given cos⁡x+cos⁡2x=1\cos x + \cos^2 x = 1, we can deduce cos⁡x=sin⁡2x\cos x = \sin^2 x. Substituting this into the expression and simplifying leads to 0.

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