Find the exact value of sin(30°).
Solution
Problem
Find the exact value of sin(30°).
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