UPSKILL MATH PLUS

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Trigonometric Identities

Methodical recommendation:

Theory

Number Name Description
Number 1. Name Trigonometric identities Description Learn some basic trigonometric identities and proof.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Trigonometric identity Type 1st type - receptive Difficulty easy Marks 2 m. Description Practise problem to remember the trigonometric identities.
Number 2. Name Express in terms of the ratio 'sin' Type 2nd type - interpretation Difficulty easy Marks 2 m. Description Practise problem to express the given ratio in terms of 'sin'.
Number 3. Name Express in terms of the ratio 'cot' Type 2nd type - interpretation Difficulty easy Marks 2 m. Description Practise problem to express the given ratio in terms of 'cot'.
Number 4. Name Express in terms of the ratio 'sec' Type 2nd type - interpretation Difficulty easy Marks 2 m. Description Practise problem to express the given ratio in terms of 'sec'.
Number 5. Name Simplify and choose the equivalent expressions Type 2nd type - interpretation Difficulty medium Marks 4 m. Description Simplify the given expression using trigonometric identities.
Number 6. Name Simplify and select the equivalent expressions Type 2nd type - interpretation Difficulty medium Marks 4 m. Description In this exercise, simplify and select the equivalent expressions using trigonometric identities.
Number 7. Name Prove the given trigonometric equation Type 3rd type - analysis Difficulty medium Marks 4 m. Description Practise problem to prove the given equation using trigonometric identities.
Number 8. Name Explain the given trigonometric equation by matching correct options Type 3rd type - analysis Difficulty medium Marks 4 m. Description Practise problem to prove the given equation using trigonometric identities.
Number 9. Name Verify the given trigonometric equation Type 3rd type - analysis Difficulty hard Marks 5 m. Description Practise problem to verify the given equation using trigonometric identities.
Number 10. Name Choose the correct answer Type 3rd type - analysis Difficulty hard Marks 5 m. Description Choose the correct answer using the trigonometric identities.
Number 11. Name Show the given trigonometric equation Type 3rd type - analysis Difficulty hard Marks 5 m. Description Practise problem to show the given equation using trigonometric identities.
Number 12. Name Pick the correct statement: Trigonomentric identities Type 3rd type - analysis Difficulty hard Marks 5 m. Description Understand the given statements and choose the correct answer.
Number 13. Name Select the correct answer Type 3rd type - analysis Difficulty hard Marks 4 m. Description Select the correct answer using the trigonometric identities.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
Number 1. Name Prove the following identities I Type Other Difficulty medium Marks 4 m. Description Recall the fundamental trigonometric identities and prove the given identities.
Number 2. Name Prove the following identities II Type Other Difficulty medium Marks 4 m. Description Recall the fundamental trigonometric identities and prove the given identities.
Number 3. Name Prove the following identities III Type Other Difficulty medium Marks 4 m. Description Recall the fundamental trigonometric identities and prove the given identities.
Number 4. Name Prove the following identities IV Type Other Difficulty medium Marks 4 m. Description To prove the given expression using trigonometric ratio of complementary angles and trigonometric identities.
Number 5. Name Prove the following identities V Type Other Difficulty hard Marks 6 m. Description Prove the identities using basic trigonometric identities.
Number 6. Name Prove the following identities VI Type Other Difficulty hard Marks 6 m. Description Recall the fundamental trigonometric identities and prove the given identity.
Number 7. Name Prove the following identities VII Type Other Difficulty hard Marks 6 m. Description Recall the fundamental trigonometric identities and prove the given identities.
Number 8. Name Prove the following identities VIII Type Other Difficulty hard Marks 5 m. Description Prove the given trigonometric equation by using trigonometric identities.
Number 9. Name Analyse the statements and choose the correct answer Type Other Difficulty hard Marks 5 m. Description Understand the given statements and choose the correct answer.

Tests

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Training test I Recomended time: 00:15:00 Difficulty medium Marks 9 m. Description
Number 2. Name Training test II Recomended time: 00:15:00 Difficulty medium Marks 7 m. Description
Number 3. Name Training test III Recomended time: 00:15:00 Difficulty medium Marks 8 m. Description
Number 4. Name Training test IV Recomended time: 00:15:00 Difficulty medium Marks 8 m. Description

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework I Recomended time: 00:20:00 Difficulty medium Marks 13 m. Description
Number 2. Name Homework II Recomended time: 00:20:00 Difficulty medium Marks 12 m. Description
Number 3. Name Homework III Recomended time: 00:25:00 Difficulty hard Marks 12 m. Description
Number 4. Name Homework IV Recomended time: 00:25:00 Difficulty hard Marks 14 m. Description
Number 5. Name Progress test I Recomended time: 00:20:00 Difficulty medium Marks 17 m. Description
Number 6. Name Progress test II Recomended time: 00:20:00 Difficulty medium Marks 15 m. Description
Number 7. Name Progress test III Recomended time: 00:20:00 Difficulty medium Marks 15 m. Description
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