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Let f(x)={{:(-2sinx" if "xle-(pi)/(2)),(...

Let `f(x)={{:(-2sinx" if "xle-(pi)/(2)),(Asinx+B" if "-(pi)/2ltxlt(pi)/(2)),(cosx" if " xge(pi)/(2)):}`. Then

A

f is discontinuous for all A and B

B

f is continuous for all A=-1 and B=-1

C

f is continuous for all A=1 and B=-1

D

f is continuous for all real values of A,B

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The correct Answer is:
B
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