Question

Evaluate:-
sin 60° cos 30° + sin 30° cos 60°​

Answer 1

Answer:

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Step-by-step explanation:

Use  sin(90∘−θ)=cosθ and  cos(90∘−θ)=sinθ

and  cos2θ+sin2θ=1

Now,

sin30∘⋅cos60∘+cos30∘⋅sin60∘

=sin(90∘−60∘)⋅cos60∘+cos(90∘−60∘)⋅sin60∘

=cos60∘⋅cos60∘+sin60∘⋅sin60∘

=cos260°+sin260°=1