Trigonometric Function Formulas

Function	Formula	Explanation
Sin(θ)	$\sin θ = \frac{Opposite}{Hypotenuse}$	Opposite side to hypotenuse.
Cos(θ)	$\cos θ = \frac{Adjacent}{Hypotenuse}$	Adjacent side to hypotenuse.
Tan(θ)	$\tan θ = \frac{Opposite}{Adjacent}$	Opposite side to adjacent.
Csc(θ)	$\csc θ = \frac{1}{\sin θ}$	Reciprocal of sin(θ).
Sec(θ)	$\sec θ = \frac{1}{\cos θ}$	Reciprocal of cos(θ).
Cot(θ)	$\cot θ = \frac{1}{\tan θ}$	Reciprocal of tan(θ).
Pythagorean Identity	$\sin^{2} + \cos^{2} = 1$	sin²(θ) + cos²(θ) = 1.
Reciprocal Identities	$\csc θ = \frac{1}{\sin}, \sec θ = \frac{1}{\cos}, \cot θ = \frac{1}{\tan}$	Basic reciprocal relations.

Related Links

No results