Unlock trigonometric solutions with our free Half Angle Calculator. Quickly find the sine, cosine, and tangent values for half of any given angle (θ/2). Ideal for students, engineers, and anyone needing precise trigonometric computations for half-angles. Supports both degrees and radians for flexibility in your calculations.
Formula:
The half-angle formulas (identities) relate the trigonometric functions of an angle θ/2 to the cosine of the original angle θ:
- Sine Half-Angle Identity: sin(θ/2) = ±√((1 - cos θ) / 2)
- Cosine Half-Angle Identity: cos(θ/2) = ±√((1 + cos θ) / 2)
- Tangent Half-Angle Identity: tan(θ/2) = (1 - cos θ) / sin θ = sin θ / (1 + cos θ) = ±√((1 - cos θ) / (1 + cos θ))
The choice of the ± sign depends on the quadrant in which θ/2 lies. Our calculator directly computes the sine, cosine, and tangent of the half-angle (θ/2) from the angle θ you input.