Mathematics

Complementary Angle Sine

Sine of the complementary angle equals cosine.

sin(90° - θ) = cos θ

Formula Explanation

In a right triangle the two acute angles add to 90°.

Variables Explained

θ = acute angle.

Solved Example

Find sin(90° - 30°).
sin(60°) = cos 30° = √3/2.

Exam Tip

Very useful for simplifying expressions.