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:
C
Given that A = 60°, we need to find the value of sin 2A.
Step 1: Calculate 2A.
\[2A = 2 \times 60° = 120°\]
Step 2: Now, find sin 120°. Using the sine function:
\[\sin 120° = \sin(180° - 60°) = \sin 60°\]
Step 3: We know that \[\sin 60° = \frac{\sqrt{3}}{2}\]
Therefore, \[\sin 120° = \frac{\sqrt{3}}{2}\].
Thus, the value of \(\sin 2A\) is \(\frac{\sqrt{3}}{2}\). Hence, the correct answer is option C.
Step 1: Calculate 2A.
\[2A = 2 \times 60° = 120°\]
Step 2: Now, find sin 120°. Using the sine function:
\[\sin 120° = \sin(180° - 60°) = \sin 60°\]
Step 3: We know that \[\sin 60° = \frac{\sqrt{3}}{2}\]
Therefore, \[\sin 120° = \frac{\sqrt{3}}{2}\].
Thus, the value of \(\sin 2A\) is \(\frac{\sqrt{3}}{2}\). Hence, the correct answer is option C.
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