Math, asked by sarthaktiwari11, 2 months ago

find the value of sin30×cos60+cos30×sin60​

Answers

Answered by SoulFulKamal
4

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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