December 19, 2020

Chapters

- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Solution of exercise 1
- Solution of exercise 2
- Solution of exercise 3
- Solution of exercise 4
- Solution of exercise 5
- Solution of exercise 6
- Solution of exercise
- Solution of exercise 7
- Solution of exercise
- Solution of exercise 8
- Solution of exercise
- Solution of exercise 9
- Solution of exercise
- Solution of exercise 10
- Solution of exercise 11
- Solution of exercise 12

PS: Note that all the angles are in **degree**.

## Exercise 1

Knowing that , and that , calculate the remaining trigonometric ratios of angle .

## Exercise 2

Knowing that , and that , calculate the remaining trigonometric ratios of angle .

## Exercise 3

Knowing that and , calculate the remaining trigonometric ratios of angle .

## Exercise 4

Knowing that , calculate the remaining trigonometric ratios of angle .

## Exercise 5

Prove the identities:

1

2

3

4

5

## Exercise 6

Simplify the fractions:

1

2

3

## Exercise 7

Prove the identities:

### Part 1

### Part 2

## Exercise 8

Simplify the fractions:

### Part 1

### Part 2

### Part 3

## Exercise 9

Calculate the trigonometric ratios of (from the and ).

## Exercise 10

Develop: .

## Exercise 11

Calculate , depending on .

## Exercise 12

Calculate and , in terms of .

## Solution of exercise 1

Knowing that , and that , calculate the remaining trigonometric ratios of angle .

## Solution of exercise 2

Knowing that , and that , calculate the remaining trigonometric ratios of angle .

## Solution of exercise 3

Knowing that and , calculate the remaining trigonometric ratios of angle .

## Solution of exercise 4

Knowing that , calculate the remaining trigonometric ratios of angle .

First quadrant:

Second quadrant:

## Solution of exercise 5

Prove the identities:

1

2

3

4

5

## Solution of exercise 6

Simplify the fractions:

1

2

3

## Solution of exercise

## Solution of exercise 7

Prove the identities:

1

2

## Solution of exercise

## Solution of exercise 8

Simplify the fractions:

1

2

3

## Solution of exercise

## Solution of exercise 9

Calculate the trigonometric ratios of (from the and ).

## Solution of exercise

## Solution of exercise 10

Develop: .

## Solution of exercise 11

Calculate , depending on .

## Solution of exercise 12

Calculate and , in terms of .