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Grade: 12

                        

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°

4 months ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
4522 Points
							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
4 months ago
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