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Let f(x)={-2sinx for -pi<=x <=-pi/2 a si...

Let `f(x)={-2sinx` for `-pi<=x <=-pi/2 a sin x+ b` for `- pi/2 < x < pi/2.cos x` for `pi/2 <= x <= pi ` if f is continuous on `[-pi, pi).`then find the value of a and b.

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