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;
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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