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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Hard
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Analyzing +4 | -1
cos⁡  2x+k sin    x=2k−7\cos \,\,2x + k\,sin\,\,\;x = 2k - 7 has a solution for
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Correct option: A
2≤k≤62 \le k \le 6
Option A (2≤k≤62 \le k \le 6) is correct because this range of kk ensures that the value of sin⁡x\sin x obtained from the equation lies between -1 and 1, which is a necessary condition for a solution to exist.

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