Question

sin A = 2 sin 30° cos 30°, then the value of A is​

Answer 1

reference attached

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Answer 2

The value of A for which the equation; sin A = 2 sin 30° cos 30° is true is; A = 60°

Trigonometric identities

Recall from trigonometric identities that;

• Sin (2x) = 2 sinx cosx

By comparison with the given equation;

We can conclude that; A = 2x.

And from comparison; x = 30°.

Ultimately, the value of A = 2 × 30° = 60°

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