Question

sin( 40 + x) cos( 10+x) - cos ( 40 + x) sin( 10+ x) = 1/2​

Answer 1

Answer:

Let A= 40+x and B= 10+x

In Lhs of above question SinAcosB - cosAsinB

Since, SinAcosB - cosAsinB is equal to sin(A-B)

And sin(A-B) = sin(40+x-10-x)= sin(30)= 1/2

..

..

Since Lhs = rhs

Hence proved....

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