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Trigonometry class 10 MCQ with answers
Here are a set of multiple-choice questions (MCQs) for Chapter 8, Introduction to Trigonometry, from the Class 10 Maths syllabus, aligned with the CBSE guidelines for the academic year 2023-2024. These questions, designed in accordance with the latest exam pattern, offer detailed explanations along with correct answers. By solving these MCQs, students can enhance their understanding of trigonometry and improve their performance in the board exams. The PDF version of the MCQs is also available for download, enabling students to practice more questions related to the introduction to trigonometry.
Also Check: Important Questions for Class 10 Maths Chapter 14 Statistics
NCERT Solutions for Class 10 All Subjects
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- NCERT Solutions for Class 10 English
Maths MCQ with Answers : Chapter 8 Introduction to Trigonometry
1. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is
(a) 1
(b) -1
(c) 0
(d) \(\frac{1}{\sqrt{2}}\)
Answer
Answer: c
2. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to
(a) √3
(b) \(\frac{1}{2}\)
(c) \(\frac{1}{\sqrt{2}}\)
(d) 1
3. If x and y are complementary angles, then
(a) sin x = sin y
(b) tan x = tan y
(c) cos x = cos y
(d) sec x = cosec y
Answer
Answer: d
4. sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°
5. If A,B,C are the interior angles of a △ABC, then cos(A+B2) equals to
cos C/2
sin C/2
sec C/2
cosec C/2
Answer
Answer: d
6. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) \(\frac{1}{\sqrt{3}}\)
(c) 1
(d) √3
Answer
Answer: c
Also Check: Some Applications of Trigonometry Class 10 Extra Questions Maths Chapter 9
7. If y sin 45° cos 45° = tan2 45° – cos2 30°, then y = …
(a) –\(\frac{1}{2}\)
(b) \(\frac{1}{2}\)
(c) -2
(d) 2
Answer
Answer: b
8. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
(a) -1
(b) 0
(c) 1
(d) 2
9. 5 tan² A – 5 sec² A + 1 is equal to
(a) 6
(6) -5
(c) 1
(d) -4
Answer
Answer: d
10. If sec A + tan A = x, then sec A =
Answer
Answer: d
11. If sec A + tan A = x, then tan A =
Answer
Answer: b
12. Prove that (1+cosA)/sinA=sinA/(1-cosA)
Answer
Answer: b
13. If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =
(a) ab
(b) b² + a²
(c) a²b²
(d) a4b4
Answer
Answer: c
14. What is the maximum value of \(\frac{1}{\csc A}\)?
(a) 0
(b) 1
(c) \(\frac{1}{2}\)
(d) 2
Answer
Answer: b
15. What is the minimum value of sin A, 0 ≤ A ≤ 90°
(a) -1
(b) 0
(c) 1
(d) \(\frac{1}{2}\)
Answer
Answer: b
16. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°
(a) -1
(b) 0
(c) 1
(d) \(\frac{1}{2}\)
Answer
Answer: b
17. Given that sin θ = \(\frac{a}{b}\) , then tan θ =
Answer
Answer: c
18. If cos 9A = sin A and 9A < 90°, then the value of tan 5A is
(a) 0
(b) 1
(c) \(\frac{1}{\sqrt{3}}\)
(d) √3
Answer
Answer: b
19. If in ΔABC, ∠C = 90°, then sin (A + B) =
(a) 0
(b) 1/2
(c) \(\frac{1}{\sqrt{2}}\)
(d) 1
Answer
Answer: d
20. If sin A – cos A = 0, then the value of sin4 A + cos4 A is
(a) 2
(b) 1
(c) \(\frac{3}{4}\)
(d) \(\frac{1}{2}\)
Answer
Answer: d
Other Resource for Class 10
NCERT Solutions for Class 10 Maths Chapter Wise
- Chapter 1 – Real Numbers
- Chapter 2 – Polynomials
- Chapter 3 – Pair of Linear Equations in Two Variables
- Chapter 4 – Quadratic Equations
- Chapter 5 – Arithmetic Progressions
- Chapter 6 – Triangles
- Chapter 7 – Coordinate Geometry
- Chapter 8 – Introduction to Trigonometry
- Chapter 9 – Some Applications of Trigonometry
- Chapter 10 – Circles
- Chapter 11 – Constructions
- Chapter 12 – Areas Related to Circles
- Chapter 13 – Surface Areas and Volumes
- Chapter 14 – Statistics
- Chapter 15 – Probability
