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Question

Question: If \(A = 60 ^ { \circ }\) then value of \(\sin 2 A\) will be...

If A=60∘A = 60 ^ { \circ } then value of sin⁡2A\sin 2 A will be

A

32\frac { \sqrt { 3 } } { 2 }

B

12\frac { 1 } { 2 }

C

13\frac { 1 } { \sqrt { 3 } }

D

12\frac { 1 } { \sqrt { 2 } }

Answer

32\frac { \sqrt { 3 } } { 2 }

Explanation

Solution

sin⁡2A=2sin⁡Acos⁡A\sin 2 A = 2 \sin A \cos A =32= \frac { \sqrt { 3 } } { 2 }