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Enter any two sides of a right triangle to calculate all six trigonometric ratios and the angle.
Enter at least 2 sides (leave one empty to calculate it)
| Function | Ratio | Reciprocal |
|---|---|---|
| sin(θ) | opposite / hypotenuse | csc(θ) = 1/sin(θ) |
| cos(θ) | adjacent / hypotenuse | sec(θ) = 1/cos(θ) |
| tan(θ) | opposite / adjacent | cot(θ) = 1/tan(θ) |
In a right triangle, the Pythagorean theorem (a² + b² = c²) lets us calculate the third side from any two. Then we can find all trig ratios.
The reciprocal functions are inverses: csc = 1/sin, sec = 1/cos, cot = 1/tan. Also, tan = sin/cos and sin² + cos² = 1.
Yes! tan, cot, sec, and csc can be any real number (except at undefined points). Only sin and cos are always between -1 and 1.