# Understanding 13 1 Tangent Ratio Homework Answer Key

## What is the Tangent Ratio?

The tangent ratio is a trigonometric function used to find the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. It is represented by the formula tan θ = opposite/adjacent, where θ is the angle measure.

### What is 13 1 Tangent Ratio Homework Answer Key?

13 1 Tangent Ratio Homework Answer Key is a set of answers to a homework assignment that involves solving problems related to the tangent ratio. The questions typically involve finding the missing length of a side or the measure of an angle in a right triangle.

## How to Use the Tangent Ratio?

To use the tangent ratio, you need to know the measure of one angle and the length of either the opposite or adjacent side of the right triangle. You can then use the formula tan θ = opposite/adjacent to find the missing length or angle measure.

### Example Problem:

Suppose we have a right triangle with an angle measure of 30 degrees and an adjacent side of length 3. Find the length of the opposite side.

Using the tangent ratio, we have:

tan 30 = opposite/3

opposite = 3 tan 30

opposite = 3 (1/√3)

opposite = √3

Therefore, the length of the opposite side is √3.

## Common Mistakes to Avoid

One common mistake when using the tangent ratio is forgetting to convert between degrees and radians. The tangent function takes an angle measure in radians, so you need to convert from degrees using the formula θ (radians) = θ (degrees) x π/180. Another mistake is forgetting to use the Pythagorean theorem to find the length of the hypotenuse when necessary. The Pythagorean theorem states that the sum of the squares of the lengths of the two legs of a right triangle is equal to the square of the length of the hypotenuse.

## Conclusion

The tangent ratio is a useful trigonometric function for solving problems related to right triangles. By understanding the formula and avoiding common mistakes, you can easily solve problems and use 13 1 Tangent Ratio Homework Answer Key to check your work.