Solution :
The formula of 2 sin A cos B is sin (A + B) + sin (A – B).
Example : Solve : 2 sin 75 cos 15.
Solution : We have,
2 sin 75 cos 15 = sin (75 + 15) + sin (75 – 15)
= sin 90 + sin 60
= 1 + \(\sqrt{3}\over 2\)
= \(2 + \sqrt{3}\over 2\)
The formula of 2 sin A cos B is sin (A + B) + sin (A – B).
Example : Solve : 2 sin 75 cos 15.
Solution : We have,
2 sin 75 cos 15 = sin (75 + 15) + sin (75 – 15)
= sin 90 + sin 60
= 1 + \(\sqrt{3}\over 2\)
= \(2 + \sqrt{3}\over 2\)