Question

Cosx=cos60.cos30+sin60.sin30

Answer 1

cos x = cos 60°.cos30°+sin60°.sin30°
cos x= 1/2×root3/2+root3/2×1/2
= root3/4+root3/4
= root3 + root3whole ÷ 4
=2root3/4
= root3/2
therefore;
cos x = root3/2
w.k.t cos 30° is root 3/2
so x= 30°

Thank you

Answer 2

cosx= 1/2*√3/2 + √3/2*1/2
cosx= √3/2
x=
$\ \cos(^{ - 1} ) \sqrt{3} \div 2$