Mathematics

Basic Sine Ratio

Calculate the sine of an acute angle in a right triangle.

sin θ = Perpendicular / Hypotenuse

Formula Explanation

Sine is the ratio of the opposite side to the hypotenuse.

Variables Explained

θ = Angle; Perpendicular = Opposite side; Hypotenuse = Longest side.

Solved Example

If the opposite side is 3 and hypotenuse is 5, find sin θ.
sin θ = 3/5 = 0.6.

Exam Tip

Identify the reference angle before selecting the opposite side.