Find the value of sin 30° × cos 60°
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Answer:
The exact value of sin(30) sin ( 30 ) is 12 1 2 . The exact value of cos(60) cos ( 60 ) is 12 1 2 .
Answered by
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Answer:
Use sin(90
∘
−θ)=cosθ and cos(90
∘
−θ)=sinθ
and cos
2
θ+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
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