Trigonometry Calculator
Calculate all six trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) for any angle.
Results
Enter values and click Calculate to see the result.
Theory & Formula
What is Trigonometry?
Trigonometry is the study of relationships between angles and sides of triangles. The six trigonometric functions relate angles to ratios of sides in a right triangle.
The Six Trigonometric Functions
Sine (sin):
\(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\)Cosine (cos):
\(\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\)Tangent (tan):
\(\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{\sin(\theta)}{\cos(\theta)}\)Cosecant (csc):
\(\csc(\theta) = \frac{1}{\sin(\theta)}\)Secant (sec):
\(\sec(\theta) = \frac{1}{\cos(\theta)}\)Cotangent (cot):
\(\cot(\theta) = \frac{1}{\tan(\theta)} = \frac{\cos(\theta)}{\sin(\theta)}\)The Unit Circle
On the unit circle (radius = 1), any angle θ corresponds to a point (x, y) where x = cos(θ) and y = sin(θ).
\(\sin(\theta) = y \text{ (vertical coordinate)}\)\(\cos(\theta) = x \text{ (horizontal coordinate)}\)