If f(x)={{:((1-sin^(3)x)/(3 cos^(2)x),if...

If `f(x)={{:((1-sin^(3)x)/(3 cos^(2)x),if x lt (pi)/(2)),(a,if x=(pi)/(2)),((b-(1-sinx))/(pi-2x)^(2),ifxgt(pi)/(2)):}` is continuous at x =`(pi)/(2)` find a and

A

`(4 ,(1)/(2))`

B

`(-(1)/(2) ,4)`

C

`(4, -(1)/(2))`

D

`((1)/(2),4)`

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The correct Answer is:

D

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