Name

**Trigonometric ratios**
Figure	Sides
	[math]\text{Let the right triangle } OHA\,[/math] [math]O=\text{ side adjacent to angle }\theta\,[/math] [math]A=\text{ side opposite to angle }\theta\,[/math] [math]H=\text{ hypotenuse}\,[/math]

**Trigonometric ratios**
Name of Ratio	Abbreviation	Explicit Formula	Formula	Memory Aid
[math]\text{sine of }\theta\,[/math]	[math]\sin \theta\,[/math]	[math]\sin \theta=\frac{\text{side opposite to } \theta}{hypotenuse}[/math]	[math]\sin \theta=\frac{O}{H}[/math]	[math]\text {SOH}\,[/math]
[math]\text{cosine of }\theta\,[/math]	[math]\cos \theta\,[/math]	[math]\cos \theta=\frac{\text{side adjacent to } \theta}{hypotenuse}[/math]	[math]\cos \theta=\frac{A}{H}[/math]	[math]\text {CAH}\,[/math]
[math]\text{tangent of }\theta\,[/math]	[math]\tan \theta\,[/math]	[math]\tan \theta=\frac{\text{side opposite to } \theta}{\text{side adjacent to } \theta}[/math]	[math]\tan \theta=\frac{O}{A}[/math]	[math]\text {TOA}\,[/math]
[math]\text{cotangent of }\theta\,[/math]	[math]\cot \theta\,[/math]	[math]\cot \theta=\frac{\text{side adjacent to } \theta}{\text{side opposite to } \theta}[/math]	[math]\cot \theta=\frac{A}{O}[/math]	[math][/math]
[math]\text{secant of }\theta\,[/math]	[math]\sec \theta\,[/math]	[math]\sec\theta=\frac{\text{hypotenuse}}{\text{side adjacent to } \theta}[/math]	[math]\sec \theta=\frac{H}{A}[/math]	[math][/math]
[math]\text{cosecant of }\theta\,[/math]	[math]\csc \theta\,[/math]	[math]\csc \theta=\frac{hypotenuse}{\text{side opposite to } \theta}[/math]	[math]\csc \theta=\frac{H}{O}[/math]	[math][/math]

Usage