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Question
If A = 45°, verify that sin 2A = 2 sin A cos A.
Sum
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Solution
A = 45°
⇒ 2A = 2 × 45°
= 90°
sin 2A = sin 90°
= 1
2 sin A cos A = 2 sin 45° cos 45°
= `2 xx 1/sqrt(2) xx 1/sqrt(2)`
= 1
∴ sin 2A = 2 sin A cos A
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