Right Triangle Trig

Opposite/Hypotenuse

Opposite/Adjacent

Adjacent/Opposite

Adjacent/Hypotenuse

$$\frac{opposite}{hypotenuse}$$  

$$\frac{hypotenuse}{opposite}$$  

$$\frac{adjacent}{hypotenuse}$$  

$$\frac{opposite}{adjacent}$$  

$$\frac{opposite}{hypotenuse}$$  

$$\frac{hypotenuse}{adjacent}$$  

$$\frac{adjacent}{opposite}$$  

$$\frac{opposite}{adjacent}$$  

sine

cosine

tangent

cotangent

Tangent Ratio

Sine Ratio

Cosine Ratio

Any ratio

Tangent Ratio

Sine Ratio

Cosine Ratio

Any ratio

2.3

5.6

9.8

11

$$\sin\left(53\right)\ =\ \frac{x}{14}$$

$$cos\left(53\right)\ =\frac{x}{14}$$

$$\cos\left(37\right)\ =\ \frac{x}{14}$$

$$\tan\left(37\right)\ =\ \frac{14}{x}$$

27

63

24.4

65.6