Trigonometric Identities MCQs (NCERT Class 11 Maths)
Trigonometric Identities MCQs (NCERT Class 11 Maths)
Class: CBSE Class 11 Mathematics
Subject: Mathematics
Section: Trigonometry
Topic: Trigonometric Identities
Board: CBSE Board Examinations
Subject: Mathematics
Section: Trigonometry
Topic: Trigonometric Identities
Board: CBSE Board Examinations
Instructions: These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination standards. Each question includes detailed explanations for strong conceptual clarity.
1. Fundamental identity:
Answer: A
Explanation: Basic Pythagorean identity.
Explanation: Basic Pythagorean identity.
2. 1+tan²θ equals:
Answer: A
3. 1+cot²θ equals:
Answer: B
4. sinθ/cosθ equals:
Answer: A
5. cosθ/sinθ equals:
Answer: B
6. secθ equals:
Answer: A
7. cosecθ equals:
Answer: A
8. sin²θ−cos²θ equals:
Answer: A
9. sin2θ equals:
Answer: A
10. cos2θ equals:
Answer: A
11. tanθ·cotθ =
Answer: A
12. sec²θ−tan²θ =
Answer: A
13. cosec²θ−cot²θ =
Answer: A
14. sinθ·cosecθ =
Answer: A
15. cosθ·secθ =
Answer: A
16. tanθ·secθ =
Answer: A
Explanation: tanθ·secθ = sinθ/cos²θ simplified forms.
Explanation: tanθ·secθ = sinθ/cos²θ simplified forms.
17. sin²θ/(1+cosθ) simplifies to:
Answer: A
18. (1−cos²θ) =
Answer: A
19. (1−tan²θ)/(1+tan²θ) =
Answer: A
20. If sinθ=cosθ then identity gives:
Answer: A
Explanation: Equality occurs at 45°.
Explanation: Equality occurs at 45°.
