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Reciprocal Trigonometric Ratios

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Name

Reciprocal trigonometric ratios
Figure Sides
\text{Let the right triangle } OHA\,


O=\text{ side adjacent to angle }\theta\,

A=\text{ side opposite to angle }\theta\,

H=\text{ hypotenuse}\,


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



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