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