If int(pi//3)^(x)sqrt((3-sin^(2)t))dt+in...

If `int_(pi//3)^(x)sqrt((3-sin^(2)t))dt+int_(0)^(y)cost dt =0` then `(dy)/(dx)` is

A

`(sqrt((3-sin^(2)x)))/(cosy)`

B

`(sqrt((3-cos^(2)x)))/(cosy)`

C

`-(sqrt((3-sin^(2)x)))/(cosy)`

D

None of these

Verified by Experts

The correct Answer is:

C

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