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Let f:R->[-1, 1] be defined as f(x) = co...

Let `f:R->[-1, 1]` be defined 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

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The correct Answer is:
B, C
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