Trigonometric formulas
\[1.sin \theta = \frac{opposite}{hypotenuse} \]
\[2.cos \theta = \frac{adjacent}{hypotenuse} \]
\[3.tan\theta = \frac{oppsite}{adjacent} \]
\[4.cosec\theta = \frac{hypotenuse}{opposite} \]
\[5.sec\theta = \frac{hypotenuse}{adjacent} \]
\[6.cot\theta = \frac{adjacent}{opposite} \]
Reciprocal Properties:
\[1.cot x= \frac{1}{tanx } \] \[2.cosec x= \frac{1}{sin x } \] \[3.sec x = \frac{1}{cos x} \]
\[tanx.cotx=1 \]
\[sinx.cosecx=1 \]
\[cosx.secx=1 \]
Quotient Properties:
\[1.tan\: x = \frac{sin \: x}{cos\: x} \]
\[2.cot\: x = \frac{cos \: x}{sin\: x} \]
\[3.tan\: x = \frac{sec \: x}{cosec\: x} \]
\[4.cot\: x = \frac{cosec \: x}{sec\: x} \]
Odd/Even Identities:
\[1.sin(-x)=-sin(x) \]
\[2.cos(-x)=cos(x) \]
\[3.tan(-x)=-tan(x) \]
\[4.cosec(-x)=-cosec(x) \]
\[5.sec(-x)=sec(x) \]
\[6.cot(-x)=-cot(x) \]
Cofunction Identity - radians:
\[1.sin\left ( \frac{\pi }{2} - x \right )=cos \: x \]
\[2.cos\left ( \frac{\pi }{2} - x \right )=sin\: x \]
\[3.tan\left ( \frac{\pi }{2} - x \right )=cot\: x \]
\[4.cot\left ( \frac{\pi }{2} - x \right )=tan\: x \]
Cofunction Identities - degrees:
\[1.sin\left ( 90^{\circ} - x \right )=cos\: x \]
\[2.cos\left ( 90^{\circ} - x \right )=sin\: x \]
\[3.tan\left ( 90^{\circ} - x \right )=cot\: x \]
\[4.cot\left ( 90^{\circ} - x \right )=tan\: x \]
