Trigonometry
Advanced

Half Angle: Cosine

Cosine of half an angle.

Formula

cosθ2=±1+cosθ2\cos\frac{\theta}{2} = \pm\sqrt{\frac{1+\cos\theta}{2}}

Variables

\thetaAngle

Did You Know?

The half-angle formulas were essential for building the detailed trigonometric tables of past centuries.