UPSKILL MATH PLUS

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Methodical 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 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