Unlock the power of trigonometry with our Half Angle Formula Calculator. Quickly find sin(A/2), cos(A/2), and tan(A/2) for any angle, simplifying complex calculations and enhancing your understanding of trigonometric identities. Perfect for students and professionals.
Formula:
The Half Angle Formulas allow you to calculate the trigonometric functions of an angle A/2 when the trigonometric functions of angle A are known. These formulas are:
- Sine: sin(A/2) = ±√((1 - cos A) / 2)
- Cosine: cos(A/2) = ±√((1 + cos A) / 2)
- Tangent: tan(A/2) = ±√((1 - cos A) / (1 + cos A))
- Alternatively for Tangent: tan(A/2) = (1 - cos A) / sin A or tan(A/2) = sin A / (1 + cos A)
Where A is the given angle, and the ± sign depends on the quadrant in which A/2 lies.