Trigonometry Calculator
Evaluate all six trigonometric functions for any angle. Enter an angle in degrees or radians and instantly get the values of sine, cosine, tangent, cosecant, secant, and cotangent.
Trigonometry is the branch of mathematics that studies relationships between the sides and angles of triangles. The six trigonometric functions are defined for any angle using the unit circle: sin(θ), cos(θ), tan(θ) = sin/cos, csc(θ) = 1/sin, sec(θ) = 1/cos, and cot(θ) = cos/sin.
For a right triangle with angle θ, sine is the ratio of the opposite side to the hypotenuse, cosine is adjacent over hypotenuse, and tangent is opposite over adjacent. The reciprocal functions (cosecant, secant, cotangent) are the reciprocals of these three primary functions.
Key identities include the Pythagorean identity sin²θ + cos²θ = 1, the double-angle formulas sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = cos²θ - sin²θ, and the sum formulas. Some values like tan(90°) and csc(0°) are undefined because they involve division by zero.