Calculating the Sine of 30 Degrees (Sin 30°) in a 30-60-90 Triangle

sin 30°

The sine of 30 degrees (sin 30°) can be calculated using the trigonometric values of special angles

The sine of 30 degrees (sin 30°) can be calculated using the trigonometric values of special angles.

In this case, 30 degrees is a special angle because it is one of the angles in a 30-60-90 degree right triangle.

In a 30-60-90 triangle, the sides are in the ratio 1:√3:2. The sine of an angle in this triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In a 30-60-90 triangle, the side opposite the 30 degree angle is half the length of the hypotenuse, so sin 30° = 1/2.

Therefore, the value of sin 30° is 1/2.

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