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Solution:
Sine is a trigonometric function of an angle defined as the ratio of the length of the perpendicular(opposite) side to the hypotenuse.
A = 30°
2A = 2 × 30° = 60°
Thus, sin 2A = sin 60°
Substituting the value of sin 60°,
sin 60°= √3 / 2
Thus, the value of sin 2A = √3 / 2.
Summary:
The value of sin 2A is √3 / 2