Class 9 Mathematics · Chapter 6 · Test 3
Trigonometric Identities
40 MCQs
40 questions · 35 min · 40 marks
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Sample questions
The first 5 of 40. Try each one, then tap to see the answer.
Question 1
The fundamental Pythagorean identity is:
- Asin θ + cos θ = 1
- Bsin θ − cos θ = 1
- Ctan²θ + cot²θ = 1
- Dsin²θ + cos²θ = 1
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Answer: D
This follows from a² + b² = c² divided by c².
Question 2
1 + tan²θ equals:
- Asec²θ
- Bcosec²θ
- Ccot²θ
- Dsin²θ
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Answer: A
Dividing sin²θ + cos²θ = 1 by cos²θ gives 1 + tan²θ = sec²θ.
Question 3
1 + cot²θ equals:
- Asec²θ
- Btan²θ
- Ccosec²θ
- Dcos²θ
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Answer: C
Dividing sin²θ + cos²θ = 1 by sin²θ gives 1 + cot²θ = cosec²θ.
Question 4
Dividing a² + b² = c² by c² gives:
- A1 + tan²θ = sec²θ
- Bsin²θ + cos²θ = 1
- C1 + cot²θ = cosec²θ
- Dsin θ = cos θ
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Answer: B
a²/c² + b²/c² = sin²θ + cos²θ = 1.
Question 5
sec²θ − tan²θ equals:
- Asin²θ
- B1
- Ccos²θ
- Dcot²θ
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Answer: B
sec²θ = 1 + tan²θ.
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