Тригонометрия
Half Angle Calculator: sin(θ/2), cos(θ/2), tan(θ/2)
Easily calculate half-angle trigonometric identities for sin(θ/2), cos(θ/2), and tan(θ/2). Enter your angle in degrees or radians for quick and accurate results.
Result:
Value of (θ/2):
Visualization
Understanding Half Angle Identities
Half-angle identities are trigonometric formulas that relate the trigonometric functions of an angle θ/2 to those of angle θ. They are particularly useful when you need to find trigonometric values of angles that are half of standard angles.
The key half-angle identities are:
- Sine Half-Angle: $$\sin(\frac{\theta}{2}) = \pm\sqrt{\frac{1 - \cos(\theta)}{2}}$$
- Cosine Half-Angle: $$\cos(\frac{\theta}{2}) = \pm\sqrt{\frac{1 + \cos(\theta)}{2}}$$
- Tangent Half-Angle: $$\tan(\frac{\theta}{2}) = \frac{\sin( heta)}{1 + \cos(\theta)} = \frac{1 - \cos(\theta)}{\sin(\theta)}$$
Use this calculator by entering your angle, selecting the unit (degrees or radians), and choosing the trigonometric function you want to calculate. The visualization provides a graphical representation of the angle and its half angle on the unit circle.