PDF chapter test TRY NOW
Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction | Description Introduction to the topic trigonometry. |
| Number 2. | Name Recall: Trigonometric ratios | Description Recall trigonometric ratios based on right angled triangle. |
| Number 3. | Name Complementary angle | Description Let us learn visual proof of trigonometric complementary angle. |
| Number 4. | Name Trigonometric identities | Description Learn some basic trigonometric identities and proof. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice question I | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 2. | Name Multiple choice question II | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 3. | Name Multiple choice question III | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 4. | Name Multiple choice question IV | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 5. | Name Multiple choice question V | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 6. | Name Multiple choice question VI | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 7. | Name Multiple choice question VII | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 8. | Name Multiple choice question VIII | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 9. | Name Multiple choice question IX | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 10. | Name Two mark example problem I | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 11. | Name Two mark example problem II | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 12. | Name Two mark example problem III | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 13. | Name Two mark example problem IV | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 14. | Name Two mark example problem V | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 15. | Name Two mark example problem VI | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given identities. |
| Number 16. | Name Two mark example problem VII | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given identities. |
| Number 17. | Name Two mark example problem VIII | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given identities. |
| Number 18. | Name Two mark example problem IX | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given identities. |
| Number 19. | Name Two mark example problem X | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given identities. |
| Number 20. | Name Two mark exercise problem I | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 21. | Name Two mark exercise problem II | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 22. | Name Two mark exercise problem III | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 23. | Name Two mark exercise problem IV | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 24. | Name Two mark exercise problem V | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 25. | Name Two mark exercise problem VI | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 26. | Name Two mark exercise problem IV | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 27. | Name Two mark exercise problem V | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 28. | Name Two mark exercise problem VI | Type Other | Difficulty medium | Marks 0 m. | Description Try to prove the given statements. |
| Number 29. | Name Five mark example problem I | Type Other | Difficulty hard | Marks 0 m. | Description Recall the fundamental trigonometric identities and prove the given identities. |
| Number 30. | Name Five mark example problem II | Type Other | Difficulty hard | Marks 0 m. | Description Recall the fundamental trigonometric identities and prove the given identities. |
| Number 31. | Name Five mark example problem III | Type Other | Difficulty hard | Marks 0 m. | Description Recall the fundamental trigonometric identities and prove the given identities. |
| Number 32. | Name Five mark example problem IV | Type Other | Difficulty hard | Marks 0 m. | Description Try to prove the given statement. |
| Number 33. | Name Five mark example problem V | Type Other | Difficulty hard | Marks 0 m. | Description Try to prove the given statement. |
| Number 34. | Name Five mark example problem VI | Type Other | Difficulty hard | Marks 0 m. | Description Try to prove the given statement. |
| Number 35. | Name Five mark exercise problem I | Type Other | Difficulty hard | Marks 0 m. | Description Prove the identities using basic trigonometric identities. |
| Number 36. | Name Five mark exercise problem II | Type Other | Difficulty hard | Marks 0 m. | Description Prove the identities using basic trigonometric identities. |
| Number 37. | Name Five mark exercise problem III | Type Other | Difficulty hard | Marks 0 m. | Description Prove the identities using basic trigonometric identities. |
| Number 38. | Name Five mark exercise problem IV | Type Other | Difficulty hard | Marks 0 m. | Description Prove the identities using basic trigonometric identities. |
| Number 39. | Name Five mark exercise problem V | Type Other | Difficulty hard | Marks 0 m. | Description Prove the identities using basic trigonometric identities. |
| Number 40. | Name Five mark exercise problems VI | Type Other | Difficulty hard | Marks 0 m. | Description Try to prove the given identities. |
| Number 41. | Name Five mark exercise problems VII | Type Other | Difficulty hard | Marks 0 m. | Description Try to prove the given identities. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Trigonometric identity | Type Other | Difficulty easy | Marks 2 m. | Description Practise problem to remember the trigonometric identities. |
| Number 2. | Name Express in terms of the ratio 'sin' | Type Other | Difficulty easy | Marks 2 m. | Description Practise problem to express the given ratio in terms of 'sin'. |
| Number 3. | Name Express in terms of the ratio 'cot' | Type Other | Difficulty easy | Marks 2 m. | Description Practise problem to express the given ratio in terms of 'cot'. |
| Number 4. | Name Express in terms of the ratio 'sec' | Type Other | Difficulty easy | Marks 2 m. | Description Practise problem to express the given ratio in terms of 'sec'. |
| Number 5. | Name Simplify and choose the equivalent expressions | Type Other | Difficulty medium | Marks 4 m. | Description Simplify the given expression using trigonometric identities. |
| Number 6. | Name Simplify and select the equivalent expressions | Type Other | Difficulty medium | Marks 4 m. | Description In this exercise, simplify and select the equivalent expressions using trigonometric identities. |
| Number 7. | Name Select the correct answer | Type Other | Difficulty medium | Marks 5 m. | Description Select the correct answer using the trigonometric identities. |
| Number 8. | Name Prove the given trigonometric equation | Type Other | Difficulty medium | Marks 5 m. | Description Practise problem to prove the given equation using trigonometric identities. |
| Number 9. | Name Explain the given trigonometric equation by matching correct options | Type Other | Difficulty medium | Marks 5 m. | Description Practise problem to prove the given equation using trigonometric identities. |
| Number 10. | Name Verify the given trigonometric equation | Type Other | Difficulty hard | Marks 5 m. | Description Practise problem to verify the given equation using trigonometric identities. |
| Number 11. | Name Choose the correct answer | Type Other | Difficulty hard | Marks 5 m. | Description Choose the correct answer using the trigonometric identities. |
| Number 12. | Name Show the given trigonometric equation | Type Other | Difficulty hard | Marks 5 m. | Description Practise problem to show the given equation using trigonometric identities. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Choose the correct answer | Type Other | Difficulty medium | Marks 1 m. | Description Try to prove the given identities. |
| Number 2. | Name Find the values of the identities | Type Other | Difficulty medium | Marks 2 m. | Description Try to determine the values of the given identities. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Prove the following identities I | Type Other | Difficulty medium | Marks 5 m. | Description Recall the fundamental trigonometric identities and prove the given identities. |
| Number 2. | Name Prove the following identities II | Type Other | Difficulty medium | Marks 5 m. | Description Recall the fundamental trigonometric identities and prove the given identities. |
| Number 3. | Name Prove the following identities III | Type Other | Difficulty medium | Marks 5 m. | Description Recall the fundamental trigonometric identities and prove the given identities. |
| Number 4. | Name Prove the following identities IV | Type Other | Difficulty hard | Marks 5 m. | Description Recall the fundamental trigonometric identities and prove the given identity. |
| Number 5. | Name Find the value of Identities: sin θ and tan θ | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 6. | Name Equal form of identity: tan θ and cosec θ | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 7. | Name Calculate the value of Identities: tan θ and sec θ | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 8. | Name Calculate the value of identities: cos θ and sin θ | Type Other | Difficulty medium | Marks 1 m. | Description Try to prove the given statements. |
| Number 9. | Name Equal form of identity: cot θ and tan θ | Type Other | Difficulty medium | Marks 1 m. | Description Try to prove the given statements. |
| Number 10. | Name Find the values of the identities | Type Other | Difficulty medium | Marks 1 m. | Description Try to determine the values of the given identities. |
| Number 11. | Name Trigonometric Identities | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 12. | Name Simplify and choose the equivalent expressions | Type Other | Difficulty medium | Marks 2 m. | Description Simplify the given expression using trigonometric identities. |
| Number 13. | Name Find the value using trigonometric identities | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 14. | Name Solve using trigonometric identities | Type Other | Difficulty medium | Marks 1 m. | Description Try to prove the given identities. |
| Number 15. | Name The fundamental identities of trigonometry | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
| Number 16. | Name Trigonometric ratios | Type Other | Difficulty easy | Marks 1 m. | Description Select the suitable choice for the given questions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty easy | Marks 6 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty easy | Marks 8 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
| Number 4. | Name Homework IV | Recomended time: 00:30:00 | Difficulty medium | Marks 10 m. | Description |
| Number 5. | Name Revision test I | Recomended time: 00:25:00 | Difficulty medium | Marks 14 m. | Description |
| Number 6. | Name Revision test II | Recomended time: 00:25:00 | Difficulty hard | Marks 15 m. | Description |
| Number 7. | Name Revision test III | Recomended time: 00:30:00 | Difficulty hard | Marks 15 m. | Description |
| Number 8. | Name Periodic Assessment - Demo | Recomended time: 00:15:00 | Difficulty medium | Marks 10 m. | Description Demo - PAT 2 |
| Number 9. | Name Periodic Assessment | Recomended time: 00:15:00 | Difficulty medium | Marks 6 m. | Description PAT 2 |
| Number 10. | Name Periodic Assessment - Extended version | Recomended time: 00:10:00 | Difficulty medium | Marks 6 m. | Description PA 2 |
| Number 11. | Name Periodic Assessment - 3 | Recomended time: 00:10:00 | Difficulty medium | Marks 4 m. | Description PA3 |
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