Question

prove that sin23 cos22 +cos23 sin22 = 1/2

Answer 1

Here is your answer.

As we know,

sin(A+B) = sinAcosB + cosAsinB

Here,

sin23cos22 + cos23sin22 , that means

A = 23, B = 22.

So, As per the above formula,

sin ( 23 + 22 ) = sin 45 = 1/2.

Thus, LHS = RHS .

Proved.