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Let f(x)={{:((1-sin^(3)x)/(3cos^(2)x),"i...

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

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The correct Answer is:
`a=(1)/(2),b=4`
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