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sin 2A = 2 sin A is true when A = (A) 0° (B) 30° (C) 45° (D) 60°

sin 2A = 2 sin A is true when A =
(A) 0° (B) 30° (C) 45° (D) 60°

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Option (A) is correct.

To find the value of A,
substitute the degree given in the options one by one
sin 2A = 2 sin A is true when A = 0°
As sin 2A = sin 0° = 0
2 sin A = 2 sin 0°
= 2 × 0
= 0
or,

Apply the sin 2A formula,
to find the degree value sin 2A = 2sin A cos A

⇒2sin A cos A = 2 sin A

⇒2cos A = 2
⇒cos A = 1
Now, we have to check,
to get the solution as 1,
which degree value has to be applied.
When 0 degree is applied to cos value, i.e., cos 0 =1
Therefore,
⇒A = 0°

Thanks

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