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Complementary Trigonometric Ratios

sin 2A = 2 si...

Question

$s i n 2 A = 2 s i n A$ is true when A =

A

0

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B

60

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C

30

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D

45

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Solution

The correct option is B 0
$sin 2 A = 2 sin 2 A ⟹ 2 sin A cos A = 2 sin A$
So, $cos A = 1$ or $sin A = 0$
So, $A = n π$
Hence $A = 0^{\circ}$

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