Question

11. Evaluate : sin 60º. cos 30° + sin 30º.cos 60°.
No 4
G
1 1​

Answer 1

Step-by-step explanation:

Sin 60º. Cos 30° + Sin 30º.Cos 60°

Sin(90 - 30) . Cos 30º + Sin 30º . Cos (90 - 30)

Cos 30º . Cos 30º + Sin 30º . Sin 30º

Sin²30º + Cos²30º

1

In order to solve this sum you need to know two trigonometric identities I used in this sum

Sin (90 - θ) = Cos θ [Used in second step and third step]

Sin²θ + Cos²θ = 1 [Used in fourth step and final step]

Hope this helps.....Wishing you good luck.....