Math, asked by Ryan009, 1 year ago

Evaluate

Sin 60° Cos 30° + Sin 30° Cos 60°


yashgupta93341: sin 60° × cos(90°-30°) + sin(90°-30°) × cos 60°
yashgupta93341: sin 60°× sin60° + cos 60° × cos 60°
yashgupta93341: sin sq. 60° + cos sq. 60°
yashgupta93341: =1

Answers

Answered by sijasubbiah
10
Hey

Here is your answer,

= Sin 60° Cos 30° + Sin 30° Cos 60°
=Sin (90° - 30° ) cos 30° + Sin 30° Cos (90° - 30°)
=Cos 30° Cos 30° + sin 30° sin 30°
=cos^2 30° + sin ^2 30°

By using the formula sin^2 theta + cos^2 theta =1

=1

Hope it helps you!
Answered by Niruru
11
Hey friend!

Here's your answer.
_____________________________


 (\frac{ \sqrt{3} }{2} )( \frac{ \sqrt{3} }{2} ) + ( \frac{1}{2} )( \frac{1}{2} ) \\  \\  \frac{3}{4}  +  \frac{1}{4}  =  \frac{4}{4}  \\  \\  = 1 \: answer

Hope this helps.
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