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Let f(x) = {{:(-2 sin x,"for",-pi le x l...

Let `f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):}`.
If `f` is continuous on `[-pi, pi)`, then find the values of `a` and `b`.

Text Solution

Verified by Experts

The correct Answer is:
a = -1, b = 1
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