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Show that the function given by f(x) = sin x is
(a) strictly increasing in 
(b) strictly decreasing in 
(c) neither increasing nor decreasing in (0, π)
Asked by Abhishek Last Modified
Answer 
Harshit Bhardwaj
The given function is f(x) = sin x.
(a) Since for each
we have
.
Hence, f is strictly increasing in.
(b) Since for each
, we have
.
Hence, f is strictly decreasing in.
(c) From the results obtained in (a) and (b), it is clear that f is neither increasing nor decreasing in (0, π).
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