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Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction to triginometric ratios | Description To learn the trigonometric ratios from the right angled triangle. |
| Number 2. | Name Reciprocals of basic triginometric ratios | Description To learn the reciprocals of trigonometric ratios. |
| Number 3. | Name Trigonometric ratios of 45° | Description To derive the values of all the trigonometric ratios of 45°. |
| Number 4. | Name Trigonometric ratios of 30° and 60° | Description To derive the values of all the trigonometric ratios of 30° and 60°. |
| Number 5. | Name Trigonometric ratios of 0° | Description To derive the values of all the trigonometric ratios of 0°. |
| Number 6. | Name Trigonometric ratios of 90° | Description To derive the values of all the trigonometric ratios of 90°. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Compute the ratios | Type 2nd type - interpretation | Difficulty easy | Marks 3 m. | Description To compute the trigonometric ratios from the given data. |
| Number 2. | Name Find the ratios from the figure | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the trigonomrtic values based on the given angles in the figure. |
| Number 3. | Name Find the length of the required side | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the required length of the side using the trigonometry ratio table. |
| Number 4. | Name Evaluate the expression | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To evaluate the value of the given expression using the trigonometry ratio table. |
| Number 5. | Name Find the value of the given expression | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To evaluate the value of the given expression using the trigonometry ratio table. |
| Number 6. | Name Find the angle | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the required angle using the trigonometry ratio table. |
| Number 7. | Name Find the given trigonometric ratio | Type 3rd type - analysis | Difficulty medium | Marks 3 m. | Description To find the given trigonometric ratio from the graph described. |
| Number 8. | Name Find the sine value | Type 3rd type - analysis | Difficulty medium | Marks 3 m. | Description To compute the value of the trigonometric ratio sine from the data provided. |
| Number 9. | Name Find the value of the expression | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the value of the given expression using the given ratio. |
| Number 10. | Name Find the value of sinθ | Type 3rd type - analysis | Difficulty medium | Marks 3 m. | Description To compute the value of the trigonometric ratio sin𝜃. |
| Number 11. | Name Determine the six trigonometric ratios | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To compute all the six trigonometric ratios from the given data. |
| Number 12. | Name Find the cosine value | Type 3rd type - analysis | Difficulty medium | Marks 3 m. | Description To compute the value of the trigonometric ratio cosine from the data provided. |
| Number 13. | Name Simplify | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To simplify the given expression using the trigonometric ratio table. |
| Number 14. | Name Find the two angles | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the two required angles using the data provided. |
| Number 15. | Name Find the value of 'y' and 'z' | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the value of 'y' and 'z' using the trigonometry ratio table. |
| Number 16. | Name Find the sine and cosine value | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| Number 17. | Name Find the true relation | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the relation that staisfies the trigonometric ratios. |
| Number 18. | Name Match the values with their appropriate ratios | Type 3rd type - analysis | Difficulty hard | Marks 6 m. | Description To match the columns with the corresponding trigonometric ratios. |
| Number 19. | Name Find the trigonometric ratios | Type 3rd type - analysis | Difficulty hard | Marks 5 m. | Description To compute all the trigonometric ratios from the given data. |
| Number 20. | Name Choose the correct expression | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To choose the correct trigonometric expression by simplifying the given expression. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Construct and determine | Type Other | Difficulty easy | Marks 3 m. | Description To construct a right angled triangle using a circle and to determine its trigonometric ratios. |
| Number 2. | Name Prove the equation | Type Other | Difficulty medium | Marks 4 m. | Description To prove the given equation using trigonometric ratio table. |
| Number 3. | Name Derive the trigonometric ratios of 0° | Type Other | Difficulty hard | Marks 6 m. | Description To derive the values of all the trigonometric ratios of 0°. |
| Number 4. | Name Derive the trigonometric ratios of 90° | Type Other | Difficulty hard | Marks 6 m. | Description To derive the values of all the trigonometric ratios of 90°. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test I | Recomended time: 00:15:00 | Difficulty medium | Marks 10 m. | Description |
| Number 2. | Name Training test II | Recomended time: 00:15:00 | Difficulty medium | Marks 10 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:20:00 | Difficulty hard | Marks 13 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:20:00 | Difficulty hard | Marks 13 m. | Description |
| Number 3. | Name Progress test I | Recomended time: 00:25:00 | Difficulty hard | Marks 18 m. | Description |
| Number 4. | Name Progress test II | Recomended time: 00:25:00 | Difficulty hard | Marks 19 m. | Description |
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