MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers
Class 10 Maths MCQs for Chapter 8 (Introduction to Trigonometry) are available online here with answers. All these objective questions are prepared as per the latest CBSE syllabus and NCERT guidelines. MCQs for Class 10 Maths Chapter 8 are prepared according to the new exam pattern. Solving these multiple-choice questions will help students to score good marks in the board exams
Class 10 Maths MCQs 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) 1/√2
Answer
2. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to
(a) √3
(b) 12
(c) 1/√2
(d) 1
Answer
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
4. sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°
Answer
5. If A, B and C are interior angles of a ΔABC then cos(B+C2) is equal to
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 1
Answer
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) 13√
(c) 1
(d) √3
Answer
7. If y sin 45° cos 45° = tan2 45° – cos2 30°, then y = …
(a) –12
(b) 12
(c) -2
(d) 2
Answer
8. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
(a) -1
(b) 0
(c) 1
(d) 2
Answer
9. 5 tan² A – 5 sec² A + 1 is equal to
(a) 6
(6) -5
(c) 1
(d) -4
Answer
10. If sec A + tan A = x, then sec A =
11. If sec A + tan A = x, then tan A =
13. If x = a cos 0 and y = b sin 0, then b²x²+ a²y² =
(a) ab
(b) b² + a²
(c) a²b²
(d) a⁴b⁴
14. What is the maximum value of 1/cosecA?
(a) 0
(b) 1
(c) 12
(d) 2
15. What is the minimum value of sin A, 0 ≤ A ≤ 90°
(a) -1
(b) 0
(c) 1
(d) 12
16. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°
(a) -1
(b) 0
(c) 1
(d) 12
17. Given that sin θ = ab , then tan θ =
18. If cos 9A = sin A and 9A < 90°, then the value of tan 5A is
(a) 0
(b) 1
(c) 1/√3
(d) √3
19. If in ΔABC, ∠C = 90°, then sin (A + B) =
(a) 0
(b) 1/2
(c) 1/√2
(d) 1
20. If sin A – cos A = 0, then the value of sin4 A + cos4 A is
(a) 2
(b) 1
(c) 3/4
(d) 1/2
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers
21. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is:
(a) 12/7
(b) 24/7
(c) 20/7
(d) 7/24
22. Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:
(a) 0
(b) 1+2√3
(c) 1-√3
(d) 1+√3
23. The value of tan 60°/cot 30° is equal to:
(a) 0
(b) 1
(c) 2
(d) 3
24. 1 – cos²A is equal to:
(a) sin²A
(b) tan²A
(c) 1 – sin²A
(d) sec²A
25. If cos X = ⅔ then tan X is equal to:
(a) 5/2
(b) √(5/2)
(c) √5/2
(d) 2/√5
26. If cos X = a/b, then sin X is equal to:
(a) (b²-a²)/b
(b) (b-a)/b
(c) √(b²-a²)/b
(d) √(b-a)/b
27. The value of sin 60° cos 30° + sin 30° cos 60° is:
(a) 0
(b) 1
(c) 2
(d) 4
28. 2 tan 30°/(1 + tan230°) =
(a) sin 60°
(b) cos 60°
(c) tan 60°
(d) sin 30°
29. sin 2A = 2 sin A is true when A =
(a) 30°
(b) 45°
(c) 0°
(d) 60°
30. The value of (sin 45° + cos 45°) is
(a) 1/√2
(b) √2
(c) √3/2
(d) 1
31. If sin A = 1/2 , then the value of cot A is
(a) √3
(b) 1/√3
(c) √3/2
(d) 1
32. If ∆ABC is right angled at C, then the value of cos(A+B) is
(a) 0
(b) 1
(c) 1/2
(d) √3/2
33. The value of (tan 1° tan 2° tan 3° … tan 89°) is
(a) 0
(b) 1
(c) 2
(d) 1/2
34. The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is
(a) -1
(b) 0
(c) 1
(d) 3/2
35. If cos(α + β) = 0, then sin(α – β) can be reduced to
(a) cos β
(b) cos 2β
(c) sin α
(d) sin 2α
36. If sin A + sin²A = 1, then the value of the expression (cos²A + cos⁴A) is
(a) 1
(b) 1/2
(c) 2
(d) 3
37. If cos 9α = sinα and 9α < 90°, then the value of tan 5α is
(a) 1/√3
(b) √3
(c) 1
(d) 0
38. The value of the expression sin⁶θ + cos⁶θ + 3 sin²θ cos²θ is
(a) 0
(b) 3
(c) 2
(d) 1
39. Given that sin α = 12 and cos β = 12, then the value of (α + β) is
(a) 0°
(b) 30°
(c) 60°
(d) 90°
40. If tan θ = 3, then (4sinθ−cosθ)/(4sinθ+cosθ) is equal to
(a) 2/3
(b) 1/3
(c) 1/2
(d) 3/4
41. sin (45° + θ) – cos (45° – θ) is equal to
(a) 2 cos θ
(b) 0
(c) 2 sin θ
(d) 1
42. If √2 sin (60° – α) = 1 then α is
(a) 45°
(b) 15°
(c) 60°
(d) 30°
43. The value of sin² 30° – cos² 30° is
(a) –1/2
(b) √3/2
(c) 3/2
(d) –2/3
44. If cos (40° + A) = sin 30°, then value of A is
(a) 30°
(b) 40°
(c) 60°
(d) 20°
45. If cosec θ – cot θ = 13, the value of (cosec θ + cot θ) is
(a) 1
(b) 2
(c) 3
(d) 4
46.
1+tan²A+cot²A is equal to
(a) sec² A
(b) -1
(c) cot² A
(d) tan² A
47. If cos A + cos² A = 1, then sin² A + sin⁴A is equal to
(a) -1
(b) 0
(c) 1
(d) None of these
48. If sin θ + sin² θ = 1 then cos² θ + cos⁴θ is equal
(a) -1
(b) 1
(c) 0
(d) None of these
49. 2(sin⁶θ + cos⁶ θ) – 3(sin⁴ θ + cos⁴ θ) is equal to
(a) 0
(b) 6
(c) -1
(d) None of these
50. If sin 2A = 12 tan² 45° where A is an acute angle, then the value of A is
(a) 60°
(b) 45°
(c) 30°
(d) 15°
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