Math, asked by shikharsing333, 1 month ago

() sin 60° cos 30° + sin 30° cos 60°​

Answers

Answered by aishu0105
0

sin60⁰ cos30⁰+ sin 30⁰ cos 60⁰ = 1

the answer is 1

Answered by pushkardigraskar2005
1

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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