() sin 60° cos 30° + sin 30° cos 60°
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sin60⁰ cos30⁰+ sin 30⁰ cos 60⁰ = 1
the answer is 1
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Question:
sin 60° cos 30° + sin 30° cos 60°
Answer:
1
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
Hope you understand.
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