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Consider the function f(x)={{:(-2sinx,...

Consider the function
`f(x)={{:(-2sinx,if,xle-(pi)/(2)),(Asinx+B,if,-(pi)/(2)ltxlt(pi)/(2)),(cosx,if,xge(pi)/(2)):}`
Which is continuous everywhere.
The value of B is

A

1

B

0

C

`-1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
A
Put the value of A in eq. (2) we get :
`impliesB=1`
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