UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreMethodical 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°. |
| Number 7. | Name Trigonometric ratios of complementary angles | Description To learn the trigonometric ratios of complementary angles. |
| Number 8. | Name Method of using trigonometric table | Description To learn the method of using trigonometric table. |
| Number 9. | Name Mind map | Description Learn the mind map of the introduction of trigonometry. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice questions I | Type Other | Difficulty easy | Marks 4 m. | Description Select the suitable choice for the given questions. |
| Number 2. | Name Multiple choice questions II | Type Other | Difficulty easy | Marks 3 m. | Description Select the correct answers for the given questions. |
| Number 3. | Name Multiple choice questions III | Type Other | Difficulty easy | Marks 3 m. | Description Select the suitable choice for the given questions. |
| Number 4. | Name Two mark example problems I | Type Other | Difficulty easy | Marks 6 m. | Description Try to find the trigonometric ratios. |
| Number 5. | Name Two mark example problems II | Type Other | Difficulty easy | Marks 8 m. | Description Practice the problem to find the values using trigonometric ratios. |
| Number 6. | Name Two mark example problems III | Type Other | Difficulty easy | Marks 6 m. | Description Practice a problem to express the given in terms of cos, cot and sec. |
| Number 7. | Name Two mark example problems IV | Type Other | Difficulty easy | Marks 8 m. | Description Try to find the values of the given using trigonometric ratios. |
| Number 8. | Name Two mark example problems V | Type Other | Difficulty easy | Marks 6 m. | Description Try to answer the given questions. |
| Number 9. | Name Two mark example problems VI | Type Other | Difficulty easy | Marks 8 m. | Description Try to answer the given questions. |
| Number 10. | Name Two mark example problems VII | Type Other | Difficulty easy | Marks 4 m. | Description Try to find the values of A and B. |
| Number 11. | Name Two mark exercise problems I | Type Other | Difficulty easy | Marks 12 m. | Description Try to answer the given questions. |
| Number 12. | Name Two mark exercise problems II | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of trigonometric ratios. |
| Number 13. | Name Two mark exercise problems III | Type Other | Difficulty medium | Marks 6 m. | Description Try to answer the given questions. |
| Number 14. | Name Two mark exercise problems IV | Type Other | Difficulty medium | Marks 6 m. | Description Practice a problem to find the value of the trigonometric ratios. |
| Number 15. | Name Two mark exercise problems V | Type Other | Difficulty medium | Marks 6 m. | Description Try to find the values of the trigonometric ratios. |
| Number 16. | Name Two mark exercise problems VI | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of finding the values of trigonometric ratios. |
| Number 17. | Name Two mark exercise problems VII | Type Other | Difficulty medium | Marks 6 m. | Description Try to answer the given questions. |
| Number 18. | Name Two mark exercise problems VIII | Type Other | Difficulty medium | Marks 6 m. | Description Try to determine the value of θ |
| Number 19. | Name Two mark exercise problems IX | Type Other | Difficulty medium | Marks 6 m. | Description Practice a problem to find the value of θ. |
| Number 20. | Name Two mark exercise problems X | Type Other | Difficulty medium | Marks 4 m. | Description Try to answer the given questions using trigonometric ratios. |
| Number 21. | Name Five mark example problems I | Type Other | Difficulty medium | Marks 5 m. | Description Practice a problem to determine the six trigonometric ratios. |
| Number 22. | Name Five mark example problems II | Type Other | Difficulty medium | Marks 5 m. | Description Practice a problem to find the trigonometric ratios. |
| Number 23. | Name Five mark example problems III | Type Other | Difficulty medium | Marks 5 m. | Description Try to prove the given statement. |
| Number 24. | Name Five mark example problems IV | Type Other | Difficulty hard | Marks 5 m. | Description Check your understanding skills in the concept of solving by the method of trigonometric table. |
| Number 25. | Name Five mark exercise problems I | Type Other | Difficulty hard | Marks 5 m. | Description Try to find the trigonometric ratios. |
| Number 26. | Name Five mark exercise problems II | Type Other | Difficulty hard | Marks 5 m. | Description Try to answer the given questions. |
| Number 27. | Name Five mark exercise problems III | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
| Number 28. | Name Five mark exercise problems IV | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
| Number 29. | Name Five mark exercise problems V | Type Other | Difficulty hard | Marks 10 m. | Description Try to answer the given questions. |
| Number 30. | Name Five mark exercise problems VI | Type Other | Difficulty hard | Marks 10 m. | Description Check your understanding skills in the concept of trigonometric ratios. |
| Number 31. | Name Five mark exercise problems VII | Type Other | Difficulty hard | Marks 10 m. | Description Check your understanding skills in the concept of method of finding the values using trigonometric tables. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name The ratio of cos theta | Type Other | Difficulty hard | Marks 2.5 m. | Description To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| Number 2. | Name Compute the ratios | Type Other | Difficulty easy | Marks 3 m. | Description To compute the trigonometric ratios from the given data. |
| Number 3. | Name Find the ratios from the figure | Type Other | Difficulty easy | Marks 2 m. | Description To find the trigonomrtic values based on the given angles in the figure. |
| Number 4. | Name Evaluate the value | Type Other | 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 Other | Difficulty easy | Marks 2 m. | Description To evaluate the value of the given expression using the trigonometry ratio table. |
| Number 6. | Name Find the complementary angle | Type Other | Difficulty easy | Marks 2 m. | Description To express the given angle in its complementary form. |
| Number 7. | Name Simplify the following | Type Other | Difficulty easy | Marks 2 m. | Description To simplify the given expression using its complementary form. |
| Number 8. | Name Find the angle 'A' | Type Other | Difficulty easy | Marks 2 m. | Description To find the unknown angle 'A' using the trigonometric ratio of complementary angle. |
| Number 9. | Name Find the value of tangent angle | Type Other | Difficulty easy | Marks 2 m. | Description To find the value of tangent angle using trigonometric table. |
| Number 10. | Name Find the value of cosine angle | Type Other | Difficulty easy | Marks 2 m. | Description To find the value of cosine angle using trigonometric table. |
| Number 11. | Name Find the given trigonometric ratio | Type Other | Difficulty medium | Marks 5 m. | Description To find the given trigonometric ratio from the graph described. |
| Number 12. | Name Find the value of the expression | Type Other | Difficulty medium | Marks 5 m. | Description To find the value of the given expression using the given ratio. |
| Number 13. | Name Find the value of sinθ | Type Other | Difficulty medium | Marks 5 m. | Description To compute the value of the trigonometric ratio sin𝜃. |
| Number 14. | Name Determine the six trigonometric ratios | Type Other | Difficulty medium | Marks 5 m. | Description To compute all the six trigonometric ratios from the given data. |
| Number 15. | Name Catch me! | Type Other | Difficulty medium | Marks 5 m. | Description Application problem based on the trigonometric ratio. |
| Number 16. | Name Find the length of the ladder | Type Other | Difficulty medium | Marks 5 m. | Description Application problem based on the trigonometric ratio. |
| Number 17. | Name Simplify the expression | Type Other | Difficulty medium | Marks 5 m. | Description To simplify the given expression using its complementary form. |
| Number 18. | Name Evaluate the given expression | Type Other | Difficulty medium | Marks 5 m. | Description To evaluate the value of the given expression using trigonometric ratio. |
| Number 19. | Name Simplify | Type Other | Difficulty medium | Marks 5 m. | Description To simplify the given expression using the trigonometric ratio table. |
| Number 20. | Name Find the tree's height | Type Other | Difficulty medium | Marks 5 m. | Description To find the height of the tree using trigonometric ratio. |
| Number 21. | Name Find the sum of the given angles | Type Other | Difficulty medium | Marks 5 m. | Description To find the sum of the given angles using trigonometric table. |
| Number 22. | Name Find the angle measure | Type Other | Difficulty medium | Marks 5 m. | Description To find the angle measure using trigonometric table. |
| Number 23. | Name Choose the correct answer | Type Other | Difficulty hard | Marks 5 m. | Description To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| Number 24. | Name Find the true relation | Type Other | Difficulty hard | Marks 5 m. | Description To find the relation that staisfies the trigonometric ratios. |
| Number 25. | Name Match the columns | Type Other | Difficulty hard | Marks 5 m. | Description To match the columns with the corresponding trigonometric ratios. |
| Number 26. | Name Find the trigonometric ratios | Type Other | Difficulty hard | Marks 5 m. | Description To compute all the trigonometric ratios from the given data. |
| Number 27. | Name Choose the best answer | Type Other | Difficulty hard | Marks 5 m. | Description To choose the correct trigonometric expression by simplifying the given expression. |
| Number 28. | Name Find the distance | Type Other | Difficulty hard | Marks 5 m. | Description Application problem based on the trigonometric ratio. |
| Number 29. | Name Find the area | Type Other | Difficulty hard | Marks 5 m. | Description To find the area of the right-angled triangle for the given acute angle measure using trigonometric table. |
| Number 30. | Name Find the angle made by the tower | Type Other | Difficulty hard | Marks 5 m. | Description To find the angle made by the tower using the trigonometric table. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the value | Type Other | Difficulty easy | Marks 2 m. | Description Try to answer the given question. |
| Number 2. | Name Determine the value of θ | Type Other | Difficulty medium | Marks 2 m. | Description Practice a problem to find the value of θ. |
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 Find the value of sine angle | Type Other | Difficulty easy | Marks 5 m. | Description To find the value of sine angle using trigonometric table. |
| Number 3. | Name Prove the following | Type Other | Difficulty medium | Marks 5 m. | Description To prove the given expression using trigonometric ratio of complementary angle. |
| Number 4. | Name Find the difference | Type Other | Difficulty medium | Marks 5 m. | Description To evaluate the value of the given sum using trigonometric table. |
| Number 5. | Name Prove the equation | Type Other | Difficulty hard | Marks 5 m. | Description To prove the given equation using trigonometric ratio table. |
| Number 6. | Name Find the distance between the ships | Type Other | Difficulty hard | Marks 5 m. | Description Application problem based on the trigonometric ratio. |
| Number 7. | Name Trigonometric ratios | Type Other | Difficulty easy | Marks 1 m. | Description To find the trigonomrtic values based on the given angles in the figure. |
| Number 8. | Name Find values using trigonometry ratios: sinθ and cosθ | Type Other | Difficulty hard | Marks 1 m. | Description Try to answer the given questions. |
| Number 9. | Name Find values using trigonometric table | Type Other | Difficulty medium | Marks 1 m. | Description Check your understanding skills in the concept of trigonometric ratios. |
| Number 10. | Name Find values using trigonometric table: sinθ and cosθ | Type Other | Difficulty medium | Marks 1 m. | Description Try to answer the given questions. |
| Number 11. | Name Find the angle using trigonometric ratio | Type Other | Difficulty easy | Marks 1 m. | Description To find the unknown angle 'A' using the trigonometric ratio of complementary angle. |
| Number 12. | Name Trigonometric ratios for complementary angles: cosecθ | Type Other | Difficulty easy | Marks 2 m. | Description Practice a problem to express the given in terms of cos, cot and sec. |
| Number 13. | Name Trigonometric ratios for complementary angles: tanθ | Type Other | Difficulty easy | Marks 1 m. | Description Try to find the values of the given using trigonometric ratios. |
| Number 14. | Name Values of trigonometric angle | Type Other | Difficulty medium | Marks 1 m. | Description Try to answer the given questions. |
| Number 15. | Name Evaluate the trigonometric expression | Type Other | Difficulty easy | Marks 2 m. | Description To evaluate the value of the given expression using the trigonometry ratio table. |
| Number 16. | Name Using sin table find the angle | Type Other | Difficulty medium | Marks 2 m. | Description Try to determine the value of θ |
| Number 17. | Name Determine the angle using cosine table | Type Other | Difficulty medium | Marks 1 m. | Description Check your understanding skills in the concept of finding the values of trigonometric ratios. |
| Number 18. | Name Find the angle using trigonometric value for cosine | Type Other | Difficulty medium | Marks 1 m. | Description Practice a problem to find the value of θ. |
| Number 19. | Name Find the trigonometric ratios | Type Other | Difficulty hard | Marks 1 m. | Description To compute all the trigonometric ratios from the given data. |
| Number 20. | Name Find the value using reciprocal ratios | Type Other | Difficulty medium | Marks 1 m. | Description Try to prove the given statement. |
| Number 21. | Name Simplify using trigonometric ratios for complementary angles | Type Other | Difficulty easy | Marks 1 m. | Description Try to find the values of the given using trigonometric ratios. |
| Number 22. | Name Solve using trigonometric ratios:sin θ and cos θ | Type Other | Difficulty easy | Marks 1 m. | Description Practice the problem to find the values using trigonometric ratios. |
| Number 23. | Name The ratio of cos theta | Type Other | Difficulty hard | Marks 2.5 m. | Description To find the unknown side 'z' of the triangle and to compute the trigonometric ratios. |
| Number 24. | Name The value of theta | Type Other | Difficulty easy | Marks 1 m. | Description Select the correct answers for the given questions. |
| Number 25. | Name Trigonometric ratios for complementary angles | Type Other | Difficulty medium | Marks 1 m. | Description Try to find the values of the trigonometric ratios. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:15:00 | Difficulty easy | Marks 10 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:15:00 | Difficulty easy | Marks 10 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:20:00 | Difficulty easy | Marks 16 m. | Description |
| Number 4. | Name Homework IV | Recomended time: 00:25:00 | Difficulty easy | Marks 18 m. | Description |
| Number 5. | Name Homework V | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 6. | Name Homework VI | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 7. | Name Homework VII | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 8. | Name Homework VIII | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 9. | Name Revision test I | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 10. | Name Revision test II | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 11. | Name Revision test III | Recomended time: 00:35:00 | Difficulty medium | Marks 20 m. | Description |
| Number 12. | Name Revision test IV | Recomended time: 00:35:00 | Difficulty hard | Marks 23 m. | Description |
| Number 13. | Name Revision test V | Recomended time: 00:35:00 | Difficulty hard | Marks 24 m. | Description |
| Number 14. | Name Revision test VI | Recomended time: 00:35:00 | Difficulty hard | Marks 24 m. | Description |
| Number 15. | Name Revision test VII | Recomended time: 00:35:00 | Difficulty hard | Marks 24 m. | Description |
| Number 16. | Name Revision test VIII | Recomended time: 00:40:00 | Difficulty hard | Marks 30 m. | Description |
| Number 17. | Name Revision test IX | Recomended time: 00:40:00 | Difficulty hard | Marks 32 m. | Description |
| Number 18. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 18 m. | Description PA 2 |
| Number 19. | Name Bridge Course Demo 2 | Recomended time: 00:10:00 | Difficulty medium | Marks 2 m. | Description |
| Number 20. | Name Periodic Assessment - Extended version | Recomended time: 00:10:00 | Difficulty medium | Marks 18.5 m. | Description PA 2 |
Register for free to see more content