Question

Prove that sin 60degree=2sin 30degree cos 30degree.

Answer 1

Step-by-step explanation:

Step-by-step explanation:

Cos30=√3/2sin60=√3/2sin30=1/2cos60=1/2therefore cos30+sin60/1+sin60+cos60=cos30therefore√3/2+√3/2/1+1/2+1/2=√3/2 2√3/2/1+1=√3/2 √3/2=√3/2

therefore proved.

Answer 2

SOLUTION

L.H.S = sin60°= √3/2

R.H.S. = 2sin 30°.cos 30°

$= > 2 \times \frac{1}{2} \times \frac{ \sqrt{3} }{2} \\ \\ = > \frac{ \sqrt{3} }{2}$

L.H.S = R.H.S.

hope it helps ✔️