Reciprocal Trigonometric Ratios

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Name

Reciprocal trigonometric ratios
Figure Sides
TR06.png [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]


Ratio Reciprocal ratio Formulas
[math]\sin \theta=\frac{O}{H}[/math] [math]\csc \theta=\frac{H}{O}[/math] [math]\frac{O}{H}\cdot\frac{H}{O}=1[/math] [math]\sin \theta\cdot\csc \theta=1[/math] [math]\sin \theta=\frac{1}{\csc \theta}[/math]
[math]\cos \theta=\frac{A}{H}[/math] [math]\sec \theta=\frac{H}{A}[/math] [math]\frac{A}{H}\cdot\frac{H}{A}=1[/math] [math]\cos \theta\cdot\sec \theta=1[/math] [math]\cos \theta=\frac{1}{\sec \theta}[/math]
[math]\tan \theta=\frac{O}{A}[/math] [math]\cot \theta=\frac{A}{O}[/math] [math]\frac{A}{H}\cdot\frac{H}{A}=1[/math] [math]\tan \theta\cdot\cot \theta=1[/math] [math]\tan \theta=\frac{1}{\cot \theta}[/math]



Usage

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See Also

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