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 .