Find the exact value of sin(30°).

Solution

Trigonometry · Easy

The angle 30° is one of the standard special angles in trigonometry.

Consider a 30°-60°-90° triangle. Its side lengths follow the ratio:
1 : √3 : 2

The side opposite the 30° angle has length 1, and the hypotenuse has length 2.

Using the sine ratio:
sin(30°) = opposite / hypotenuse

Therefore:
sin(30°) = 1 / 2

So the exact value is 1/2.

Result

1/2