UPSKILL MATH PLUS

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Methodical recommendation:

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.