the value of sin60°cos30°+sin30°cos 60°
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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
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