c o s e c^2(alpha+beta)-sin^2(beta-alpha...

`c o s e c^2(alpha+beta)-sin^2(beta-alpha)+sin^2(2alpha-beta)=cos^2(alpha-beta)` where `alpha,beta in (0,pi/2),` then `sin(alpha-beta)` is equals

A

`(-1)/(2)`

B

`(1)/(2)`

C

`(- sqrt3)/(2)`

D

`(sqrt3)/(2)`

Verified by Experts

The correct Answer is:

A

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