Question

cos 60°  cos30°+ sin 60°  sin 30°​

Answer 1

Answer:

As we know that:

cos 60° = 1/2, cos 30° = √3/2, sin 60° = √3/2, sin 30° = 1/2

Substituting all the values in the given expression,

(1/2 × √3/2) + (√3/2 × 1/2)

= √3/4 + √3/4

= 2√3/4

= √3/2

Thus, (cos 60° × cos 30°) + (sin 60° × sin 30°) = √3/2