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Which of the following functions are strictly decreasing on
?
(A) cos x (B) cos 2x (C) cos 3x (D) tan x Asked by Priyanka Last Modified 
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Answer
Harshit Bhardwaj
(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.
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Malay Kundu
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