Question

cos60°×cos30°+sin 60°×sin 30°, Find the values of it

Answer 1

Step-by-step explanation:

cos60°×cos30°+sin60°×sin30°

=(1/2)×(√3/2)+(√3/2)×(1/2)

=(√3/4)+(√3/4)

=2√3/4

=√3/2

Answer 2

Answer:

cos60°×cos30°+sin 60°×sin 30° = √3 / 2

Step-by-step explanation:

We need to find value of cos60°×cos30°+sin 60°×sin 30°

We can use formula here

Cos(A - B) = CosACosb + SinASinB

Then

cos60°×cos30°+sin 60°×sin 30°

= Cos ( 60° - 30°)

= Cos30°

= √3 / 2

or we can solve by putting values

cos60°×cos30°+sin 60°×sin 30°

cos60° = 1/2

cos30° = √3 / 2

sin 60° = √3 / 2

sin 30° = 1/2

= (1/2)(√3 / 2) + (√3 / 2)(1/2)

= (√3 / 2)  (1/2 + 1/2)

= (√3 / 2)  *  1

= √3 / 2