## Individual Research Projects Section 7.6

### Project 7.6

Do some research on the length-to-width ratios of the packaging of common household items. Form some conclusions. Find some examples of the golden ratio in art. Do some research on dynamic symmetry.
References:
Philip J. Davis and Reuben See the whole entry

## Homework Hints 7-5

### Note: Homework Hints are given only for the Level 1 and Level 2 problems.

However, as you go through the book be sure you look at all the examples in the text. If you need hints for the Level 3 … 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

## 7.5 Essential Ideas See the whole entry

## 6.7 Outline

1. Ratios
1. definition
2. reduce a ratio
2. Proportions
1. definition
2. property of proportions
3. solving proportions
1. cross-product divided by the number opposite the unknown
2. procedure

## 6.7 Essential Ideas See the whole entry