How to Find Sine of any Angle?

In a right-angled triangle ABC, where angle A is the angle of interest, and side lengths are denoted as follows:

• Opposite side (opposite to angle A): a
• Adjacent side (next to angle A): b
• Hypotenuse (opposite the right angle): c

The sine of angle A (sin A) is calculated as: sin A = .

Therefore, to find the sine of any angle A in a right-angled triangle, you can use the formula:

sin A =

Sine of any angle

The sine of any angle in a right-angled triangle can be found using the following formula:

Sine of some common angles

For common angles like 30°, 45°, 60°and 90°, exact values of sine are known:

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