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