Question

sin 60 cos 30 + sin 30 Cos 60 evaluate the following with ​

Answer 1

First, find the values of the given trigonometric ratios

sin 30° = 1/2

cos 30° = √3/2

sin 60° = √3/2

cos 60°= 1/2

Now, substitute the values in the given problem

sin 60° cos 30° + sin 30° cos 60°

⇒ √3/2 × √3/2 + (1/2) × (1/2 )

⇒ 3/4+1/4

= 4/4

= 1

∴ sin 60° cos 30° + sin 30° cos 60° = 1