Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If 
, then find the value of 
.
Text Solution
Verified by ExpertsThe correct answer is:
A
Given A = 60°, we need to find sin 2A.
Step 1: Use the double angle formula for sine:
sin 2A = 2 sin A cos A.
Step 2: First, we find sin 60° and cos 60°.
Step 3: Substitute these values into the double angle formula:
sin 2(60°) = 2 \times sin 60° \times cos 60° = 2 \times \frac{\sqrt{3}}{2} \times \frac{1}{2} = \frac{\sqrt{3}}{2}.
Therefore, sin 2A = \frac{\sqrt{3}}{2}. Hence, the value of sin 2A when A = 60° is \frac{\sqrt{3}}{2}.
Step 1: Use the double angle formula for sine:
sin 2A = 2 sin A cos A.
Step 2: First, we find sin 60° and cos 60°.
- sin 60° = \frac{\sqrt{3}}{2}
- cos 60° = \frac{1}{2}
Step 3: Substitute these values into the double angle formula:
sin 2(60°) = 2 \times sin 60° \times cos 60° = 2 \times \frac{\sqrt{3}}{2} \times \frac{1}{2} = \frac{\sqrt{3}}{2}.
Therefore, sin 2A = \frac{\sqrt{3}}{2}. Hence, the value of sin 2A when A = 60° is \frac{\sqrt{3}}{2}.
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