Coordinate definition of trigonometric functions for JEE

Formula

\(\sin\theta=\dfrac{y}{r},\quad \cos\theta=\dfrac{x}{r},\quad \tan\theta=\dfrac{y}{x}\)

Variables: \((x,y)\) = point on terminal side of angle \(\theta\), \(r=\sqrt{x^2+y^2}\).

Conditions: For \(\tan\theta\), \(x\neq 0\).

Signs in quadrants, general-angle trigonometry.