# Trigonometric ratios review

Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.

## What are the trigonometric ratios?

$\large\sin(\angle A)=$$\large\dfrac{\blueD{\text{opposite}}}{\goldD{\text{hypotenuse}}}$
$\large\cos(\angle A)=$$\large\dfrac{\purpleC{\text{adjacent}}}{\goldD{\text{hypotenuse}}}$
$\large\tan(\angle A)=$$\large\dfrac{\blueD{\text{opposite}}}{\purpleC{\text{adjacent}}}$
$\large\cot(\angle A)=$$\large\dfrac{\purpleC{\text{adjacent}}}{\blueD{\text{opposite}}}$
$\large\sec(\angle A)=$$\large\dfrac{\goldD{\text{hypotenuse}}}{\purpleC{\text{adjacent}}}$
$\large\csc(\angle A)=$$\large\dfrac{\goldD{\text{hypotenuse}}}{\blueD{\text{opposite}}}$

## Practice set 1: sine, cosine, and tangent

Problem 1.1
$\sin(\angle B)=$
Use an exact expression.

Want to try more problems like this? Check out this exercise.

## Practice set 2: cotangent, secant, and cosecant

Problem 2.1
$\cot(\angle B)=$
Use an exact expression.

Want to try more problems like this? Check out this exercise.