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Half Angle Formulas

Half Angle Formulas

Submitted by • May 2, 2013

Trigonometry is one of the most important and oldest topics in modern mathematics. The collection of formulas in the trigonometry is usually called as trigonometric function and identities.
Sin2 `theta = 1/2(1-cos 2theta)`
Sin `theta/2 = +-sqrt((1-cos theta)/2)`
tan `theta/2 = +- sqrt((1- cos theta)/(1+ cos theta)) = sin theta/(1+cos theta) = (1-cos theta)/ sin theta`
Cos2 `theta = 1/2(1+cos 2theta)`
Cos `theta/2 = +-sqrt((1+cos theta)/2)`

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