Question

verify cos 60° cos 30° + sin 60°sin30° =cos 30°​

Answer 1

Answer:

cos 60° cos 30° + sin 60°sin30° =cos 30°​ or $\sqrt{3}$/2

Step-by-step explanation:

LHS:cos 30° = $\sqrt{3}$/2            RHS= cos 30° or $\sqrt{3}$/2

       cos 60°= 1/2

       sin 60°=$\sqrt{3}$/2

       sin 30°=1/2

cos 60° cos 30° + sin 60°sin30°

=1/2*$\sqrt{3}$/2  + $\sqrt{3}$/2*1/2

=$\sqrt{3}$/4 + $\sqrt{3}$/4

=2$\sqrt{3}$/4

=$\sqrt{3}$/2

=cos 30° = RHS