## Homework Hints 7-5

Problems 1-4
These problems are designed to make sure you are familiar with the Pythagorean theorem as well as the definitions of sine, cosine, and tangent.

Problem 5
Use the Pythagorean theorem and Example 1.

Problems 6-16
Use the definition … See the whole entry

## 7.5 Outline

1. Pythagorean theorem
2. Trigonometric ratios
1. sine
2. cosine
3. tangent
3. Inverse trigonometric ratios
1. calculator calculating
2. inverse trigonometric ratios
1. inverse tangent
2. inverse cosine
3. inverse sine
4. Applications
1. angle of elevation
2. angle of depression

## Individual Research Projects Section 5.5

### Project 5.8

You may have seen a geoboard, which is simply a board with pegs. Two simple geoboards with the pegs labeled A, B, C, ….

Distance on a Geoboard

Suppose that the horizontal and vertical distance between the pegs … See the whole entry

## Homework Hints 5-5

Problems 1-6
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend … See the whole entry

## 5.5 Outline

1. Pythagorean theorem
1. perfect squares
2. square numbers
3. legs/hypotenuse (There is a nice little graphic showing the meaning of the Pythagorean theorem below)
2. Square roots
1. definition
2. positive square root of n
3. irrational numbers
4. the number pi
3. Operations with square roots
See the whole entry