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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If sin⁡  x+sin⁡2  x=1\sin \,\,x + {\sin ^2}\,\,x = 1, then the value of cos⁡12  x+3  cos⁡10  x+3  cos⁡8  x+cos⁡6  x−1{\cos ^{12}}\,\,x + 3\,\,{\cos ^{10}}\,\,x + 3\,\,{\cos ^8}\,\,x + {\cos ^6}\,\,x - 1 is equal to
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Correct option: C
0\mathrm{0}
Option C (0) is correct because by substituting sin⁡x=cos⁡2x\sin x = \cos^2 x and simplifying, the expression reduces to 1 - 1 = 0.

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