UPSKILL MATH PLUS
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Theory
| Number | Name | Description |
|---|---|---|
| 1. | Trigonometric identities | Learn some basic trigonometric identities and proof. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Trigonometric identity | 1st type - receptive | easy | 2 m. | Practise problem to remember the trigonometric identities. |
| 2. | Express in terms of the ratio 'sin' | 2nd type - interpretation | easy | 2 m. | Practise problem to express the given ratio in terms of 'sin'. |
| 3. | Express in terms of the ratio 'cot' | 2nd type - interpretation | easy | 2 m. | Practise problem to express the given ratio in terms of 'cot'. |
| 4. | Express in terms of the ratio 'sec' | 2nd type - interpretation | easy | 2 m. | Practise problem to express the given ratio in terms of 'sec'. |
| 5. | Simplify and choose the equivalent expressions | 2nd type - interpretation | medium | 4 m. | Simplify the given expression using trigonometric identities. |
| 6. | Simplify and select the equivalent expressions | 2nd type - interpretation | medium | 4 m. | In this exercise, simplify and select the equivalent expressions using trigonometric identities. |
| 7. | Prove the given trigonometric equation | 3rd type - analysis | medium | 4 m. | Practise problem to prove the given equation using trigonometric identities. |
| 8. | Explain the given trigonometric equation by matching correct options | 3rd type - analysis | medium | 4 m. | Practise problem to prove the given equation using trigonometric identities. |
| 9. | Verify the given trigonometric equation | 3rd type - analysis | hard | 5 m. | Practise problem to verify the given equation using trigonometric identities. |
| 10. | Choose the correct answer | 3rd type - analysis | hard | 5 m. | Choose the correct answer using the trigonometric identities. |
| 11. | Show the given trigonometric equation | 3rd type - analysis | hard | 5 m. | Practise problem to show the given equation using trigonometric identities. |
| 12. | Pick the correct statement: Trigonomentric identities | 3rd type - analysis | hard | 5 m. | Understand the given statements and choose the correct answer. |
| 13. | Select the correct answer | 3rd type - analysis | hard | 4 m. | Select the correct answer using the trigonometric identities. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Prove the following identities I | Other | medium | 4 m. | Recall the fundamental trigonometric identities and prove the given identities. |
| 2. | Prove the following identities II | Other | medium | 4 m. | Recall the fundamental trigonometric identities and prove the given identities. |
| 3. | Prove the following identities III | Other | medium | 4 m. | Recall the fundamental trigonometric identities and prove the given identities. |
| 4. | Prove the following identities IV | Other | medium | 4 m. | To prove the given expression using trigonometric ratio of complementary angles and trigonometric identities. |
| 5. | Prove the following identities V | Other | hard | 6 m. | Prove the identities using basic trigonometric identities. |
| 6. | Prove the following identities VI | Other | hard | 6 m. | Recall the fundamental trigonometric identities and prove the given identity. |
| 7. | Prove the following identities VII | Other | hard | 6 m. | Recall the fundamental trigonometric identities and prove the given identities. |
| 8. | Prove the following identities VIII | Other | hard | 5 m. | Prove the given trigonometric equation by using trigonometric identities. |
| 9. | Analyse the statements and choose the correct answer | Other | hard | 5 m. | Understand the given statements and choose the correct answer. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | medium | 9 m. | |
| 2. | Training test II | 00:15:00 | medium | 7 m. | |
| 3. | Training test III | 00:15:00 | medium | 8 m. | |
| 4. | Training test IV | 00:15:00 | medium | 8 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 13 m. | |
| 2. | Homework II | 00:20:00 | medium | 12 m. | |
| 3. | Homework III | 00:25:00 | hard | 12 m. | |
| 4. | Homework IV | 00:25:00 | hard | 14 m. | |
| 5. | Progress test I | 00:20:00 | medium | 17 m. | |
| 6. | Progress test II | 00:20:00 | medium | 15 m. | |
| 7. | Progress test III | 00:20:00 | medium | 15 m. |
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