Question

If A = 30°, verify that sin 3A = sin 2A . cos A + Cos 2A . sin A​

Answer 1

Answer:

Step-by-step explanation:

L.H.S = Sin 3A = Sin (3*30°)= Sin 90° = 1

R.H.S = sin 2A . cos A + Cos 2A . sin A​= Sin (2*30°). Cos 30° + Cos(2*30°).Sin 30°

= Sin 60°.Cos 30° + Cos 60°.Sin30°

= √3/2.√3/2 + 1/2*1/2

= 3/4 + 1/4

= 1

.•. L.H.S =R.H.S (Proved)