UPSKILL MATH PLUS
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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 questions I | Other | easy | 5 m. | Select the suitable choice for the given questions. |
2. | Multiple choice questions II | Other | easy | 4 m. | Select the suitable choice for the given questions. |
3. | Two mark example problems I | Other | medium | 0 m. | Try to prove the given statements. |
4. | Two mark example problems II | Other | medium | 0 m. | Try to prove the given identities. |
5. | Two mark exercise problems | Other | medium | 0 m. | Try to prove the given statements. |
6. | Five mark example problems I | Other | hard | 0 m. | Recall the fundamental trigonometric identities and prove the given identities. |
7. | Five mark example problems II | Other | hard | 0 m. | Try to prove the given statement. |
8. | Five mark exercise problems I | Other | hard | 0 m. | Prove the identities using basic trigonometric identities. |
9. | Five mark exercise problems II | 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. |
Question Bank for Teachers
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 |