Question

sin60° cos30°+sin30° cos 60°​

Answer 1

Step-by-step explanation:

Use sin(90 ∘ −θ)=cosθ and cos(90 ∘ −θ)=sinθand cos2θ+sin 2 θ=1

Now,sin30 ∘ ⋅cos60 ∘ +cos30 ∘ ⋅sin60 ∘=sin(90 ∘ −60∘ )⋅cos60 ∘ +cos(90 ∘ −60 ∘ )⋅sin60 ∘

=cos60 ∘ ⋅cos60 ∘ +sin60 ∘⋅sin60 ∘

=cos 2 60°+sin 2

60°=1