Evaluate cos 60° x cos 30° + sin 60° x sin30°

We need to evaluate cos
cos 60× cos 30+sin 60× sin30

Solution

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 equation we get

1/2 + √3/2 + √3/2 + 1/2

= √3/4 + √3/4

= 2√3/4

= √3/2

Answer

cos 60× cos 30+sin 60× sin30= √3/2

Leave a Comment

Your email address will not be published. Required fields are marked *

BOOK

Free Class

by India's top teacher with
live doubt solving