Question

sin60=2 sin 30 cos 30

Answer 1

sin60 ° = sin2*× 30°

from LHS

sin60° = √3/2


from RHS

2 sin30° ×cos30°

= 2×1/2×√3/2

2√3/2×2

√3/2

LHS = RHS

Answer 2

Hi,

Here is your answer !
___________________________

To Prove : sin60° = 2sin30° cos30°

Proof :

LHS = sin60° = √3/2

RHS = 2sin30° cos30°

= 2×(1/2)×(√3/2) = √3/2

LHS = RHS [ Hence Proved ]

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★ Another Method

Formula : sin2A = 2sinAcosA

Now,

sin60° = sin 2(30°)

= 2sin30° cos30°

Hence proved