Trigonometric Ratios

Line AB

Line AC

Line BC

Line AC

Line AB

Line BC

Line YZ

Line XY

Line XZ

$$Sine\ =\frac{\text{opposite}}{\text{adjacent}}$$

$$Sine\ =\frac{adjacent}{\text{opposite}}$$

$$Sine\ =\frac{\text{opposite}}{\text{hypotenuse}}$$

$$Tan\ X\ =\ \frac{\text{XZ}}{\text{YZ}}$$

$$Tan\ X\ =\ \frac{\text{XY}}{\text{YZ}}$$

$$Tan\ X\ =\ \frac{\text{YZ}}{\text{XY}}$$

$$Cos\ C\ =\ \frac{\text{BC}}{\text{AC}}$$

$$Cos\ C\ =\ \frac{\text{AB}}{\text{AC}}$$

$$Cos\ C\ =\ \frac{\text{BC}}{\text{AB}}$$

$$Tan\ =\ \frac{\text{opposite}}{\text{hypotenuse}}$$

$$Tan\ =\ \frac{\text{opposite}}{\text{adjacent}}$$

$$Tan\ =\ \frac{\text{adjacent}}{\text{hypotenuse}}$$

$$Cot\ X\ =\ \frac{\text{c}}{\text{a}}$$

$$Cot\ X\ =\ \frac{\text{a}}{\text{b}}$$

$$Cot\ X\ =\ \frac{\text{c}}{\text{b}}$$

$$Cos\ =\ \frac{\text{adjacent}}{\text{hypotenuse}}$$

$$Cos\ =\ \frac{\text{opposite}}{\text{hypotenuse}}$$

$$Cos\ =\ \frac{\text{opposite}}{\text{adjacent}}$$

$$Sec\ C\ =\ \frac{z}{\text{y}}$$

$$Sec\ C\ =\ \frac{\text{z}}{\text{x}}$$

$$Sec\ C\ =\ \frac{\text{y}}{\text{x}}$$