NDA Math Limit, Continuity and Differentiability

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For the next two(2) items that follow :
Consider the function
f(x)={
−2sinxifx≤−
Ï€
2
Asinx+Bif−
Ï€
2
<x
<
Ï€
2
cosxifx≥
Ï€
2
Which is continuous everywhere
[NDA II 2015]
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Question : 78 of 105
 
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The value of A is ?
[NDA II 2015]
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