Question:
The function f(x)=sin x-kx-c, where k and c are constants, decreases always when:
The function f(x)=sin x-kx-c, where k and c are constants, decreases always when:
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For monotonicity, check sign of derivative.
Updated On: Mar 18, 2026
- k>1
- k\ge1
- k<1
- k\le1
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The Correct Option is B
Solution and Explanation
Step 1: Differentiate. f'(x)=cos x-k
Step 2: Condition for decrease. f'(x)\le0 cos x k
Step 3: Conclusion. For all x, this holds when k\ge1.
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