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Class 12 Tuition > Learn Exercise 6.2 > Which of the following functions are strictly decreasing...
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Which of the following functions are strictly decreasing on? (A) cosx (B) cos 2x (C) cos 3x (D) tanx

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(A) Let In interval is strictly decreasing in interval. (B) Let is strictly decreasing in interval. (C) Let The point divides the intervalinto two disjoint intervals i.e., 0 ∴ f3 is strictly increasing in interval. Hence, f3 is neither increasing nor decreasing in interval. (D) Let In...
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(A) Let In interval is strictly decreasing in interval. (B) Let is strictly decreasing in interval. (C) Let The point divides the intervalinto two disjoint intervals i.e., 0 ∴ f3 is strictly increasing in interval. Hence, f3 is neither increasing nor decreasing in interval. (D) Let In interval ∴ f4 is strictly increasing in interval Therefore, functions cos x and cos 2x are strictly decreasing in Hence, the correct answers are A and B. read less
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Option (A) and (B)
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(A) cos x & (B) cos 2x ; both are strictly decreasing function in given domain (0, π\2) . Because for strictly decreasing condition for any function is f'(x) <0.
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