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Let f :R to [-1,1] be difined as f (x)= ...

Let `f :R to [-1,1]` be difined as `f (x)= cos (sin x),` then which of the following is (are) correct ?

A

f is periodic with fundamental period `2pi`

B

Range of `f =[cos 1,1]`

C

`lim_(xto (pi)/(2))(f ((pi)/(2) -x) +f ((pi)/(2)+x)=2`

D

f is neither even nor odd function

Text Solution

Verified by Experts

The correct Answer is:
B, C
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