find the value of sin30×cos60+cos30×sin60
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Question ⤵️
find the value of sin30×cos60+cos30×sin60.
Answer ⤵️
Use sin(90°− θ)=cosθ and cos(90° − θ)
=sinθ
and cos¹ θ+sin² θ=1
Now,
sin30° ⋅ cos60° + cos30° ⋅ sin60°
= sin(90° − 60° )⋅cos60° + cos(90° − 60° )⋅sin60°
= cos60° ⋅ cos60° + sin60°⋅ sin60 °
= cos²60°+sin² 60°=1
Hope it helps you ✌️
Step-by-step explanation:
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