Math basics › Trigonometry

Trig identities

The Pythagorean one

sin²θ + cos²θ = 1. Everything else is built on this, and it is just Pythagoras on the unit circle.

Quotient and reciprocal

tan = sin/cos. csc, sec and cot are 1/sin, 1/cos and 1/tan.

Double angle

sin 2θ = 2 sinθ cosθ, and cos 2θ = cos²θ − sin²θ.