# Trig Function Equations

on . Posted in Trigonometry

• Hypotenuse: The side opposite the right angle "C", is the hypotenuse "c".
• Opposite Leg: The side opposite to the angle needed "A", is the opposite side "a".
• Adjacent Leg: The side opposite the hypotenuse and next to the angle needed, is the adjacent side "b".

## Trig Function Formulas

$$\large{ sin\; \theta = \frac {opposite}{hypotenuse} }$$

$$\large{ cos\; \theta = \frac {adjacent}{hypotenuse} }$$

$$\large{ tan\; \theta = \frac {opposite}{adjacent} }$$

$$\large{ csc\; \theta = \frac {hypotenuse}{opposite} }$$

$$\large{ sec\; \theta = \frac {hypotenuse}{adjacent} }$$

$$\large{ cot\; \theta = \frac {adjacent}{opposite} }$$

$$\large{ arcsin\; \theta = \frac {opposite}{hypotenuse} }$$

$$\large{ arccos\; \theta = \frac {adjacent}{hypotenuse} }$$

$$\large{ arctan\; \theta = \frac {opposite}{adjacent} }$$

$$\large{ arccsc\; \theta = \frac {hypotenuse}{opposite} }$$

$$\large{ arcsec\; \theta = \frac {hypotenuse}{adjacent} }$$

$$\large{ arccot\; \theta = \frac {adjacent}{opposite} }$$