Learn how to find the value of sin 60 degrees using unit circle and reference angles

sin 60°

To find the value of sin 60°, we can use the unit circle or reference angles

To find the value of sin 60°, we can use the unit circle or reference angles.

In the unit circle, sin θ represents the y-coordinate of the point on the unit circle corresponding to angle θ. Since the angle that forms 60° in the unit circle is 30°, we can determine that sin 60° is equal to sin 30°.

The reference angle for 60° is 30°, which lies in the first quadrant of the unit circle. In this quadrant, the sin values are positive.

Using the special triangle with sides 1, 1, and √3, we can determine that sin 30° is equal to the ratio of the opposite side to the hypotenuse, which is 1/2.

Therefore, sin 60° is equal to sin 30°, which is equal to 1/2.

So, sin 60° = 1/2.

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