The function f(x) = log(cos x) is strictly decreasing on:
The function f(x) = log(cos x) is strictly decreasing on:
- A. (0, π/2)
- B. (π/2, π)
- C. (π, 3π/2)
- D. (-π/2, 0)
Answer: A) (0, π/2)
Explanation: f'(x) = (1/cos x)(-sin x) = -tan x. In the interval (0, π/2), tan x > 0, so f'(x) < 0, making the function strictly decreasing.
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