Calxsolver
Subject:  Trigonometry

Tangent (trig function)

The ratio sin θ / cos θ — undefined when cos θ = 0.

The tangent of an angle in a right triangle equals the opposite side divided by the adjacent side. It blows up at angles where the cosine is zero (90°, 270°, …) and repeats every π radians, half the period of sine and cosine.

Formula

tan θ = sin θ / cos θ = opposite / adjacent

Used in

Trig Function Evaluator Evaluate sin, cos, tan, csc, sec or cot of an angle. Tangent Line Calculator Equation of the tangent line to a curve at a point.

See also

Sine In a right triangle, the ratio of the side opposite an angle to the hypotenuse. Cosine In a right triangle, the ratio of the side adjacent to an angle to the hypotenuse.