Introduction to Trigonometry MCQs:
Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 8 of Class 10 Maths NCERT. You will read Introduction to Trigonometry MCQs for Term-1 Board Exams 2021-22.
Now, Board Exams are divided into two terms; Term-1 & Term-2. In Term-1 Board Exams, only MCQ type questions will be asked.
So you have to practice MCQs of all chapters of your syllabus.
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Introduction to Trigonometry MCQs |MCQ Questions for Class 10 Maths Chapter 8 with Answers:-
1. The value of the expression [cosec (75° + θ) – sec (15° - θ) – tan (55° + θ) + cot (35° - θ)] is
(a) 1
(b) −1
(c) 0
(d) 2
Answer: (c) 0
2. If sin (A + B) = `\frac{\sqrt3}2` & tan (A – B) = 1. What are the values of A and B?
(a) 37, 54
(b) 35.7, 40.7
(c) 50, 10
(d) 52.5, 7.5
Answer: (d) 52.5, 7.5
3. The value of (tan 1° tan 2° tan 3° … tan 89°) is
(a) 0
(b) 1
(c) 2
(d) -1
Answer: (b) 1
4. If √2 sin (60° – α) = 1 then α is:
(a) 45°
(b) 15°
(c) 60°
(d) 30°
Answer: (b) 15°
5. 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: (d) sec x = cosec y
6. What is the minimum value of sin A, 0 ≤ A ≤ 90°:
(a) -1
(b) 0
(c) 1
(d) 2
Answer: (b) 0
7. sin 2B = 2 sin B is true when B is equal to:
(a) 90°
(b) 60°
(c) 30°
(d) 0°
Answer: (d) 0°
8. If sin A + sin2 A = 1, then cos2 A + cos4 A = ?
(a) 1
(b) 0
(c) 2
(d) 4
Answer: (a) 1
9. 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
Answer: (b) cos 2β
10. If tan α = √3 and cosec β = 1, then the value of α – β?
(a) -30°
(b) 30°
(c) 90°
(d) 60°
Answer: (a) -30°
11. If cos (81 + θ)° = (`\frac k3` – θ)° where θ is an acute angle, then the value of k is:
(a) 18°
(b) 27°
(c) 9°
(d) 81°
Answer: (b) 27°
12. The value of the expression sin6θ + cos6θ + 3 sin2θ cos2θ is:
(a) 0
(b) 3
(c) 2
(d) 1
Answer: (d) 1
13. Who is the ‘Father of Trigonometry’?
(a) Hipparchus
(b) Euclid
(c) Aristotle
(d) Archimedes
Answer: (a) Hipparchus
14. If cos9α = sin α and 9α < 90°, then the value of tan 5α is:
(a) √3
(b) -1
(c) 0
(d) 1
Answer: (d) 1
15. If the length of the side opposite to angle A is 15 units and the length of the hypotenuse is 17 units then the length of the side adjacent to angle A is:
(a) 8 units
(b) 7 units
(c) 4 units
(d) 5 units
Answer: (a) 8 units
16. Sin (270° – x) equals to:
(a) -cos x
(b) cot x
(c) -cosec x
(d) sec x
Answer: (a) -cos x
17. If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is
(a) 60°
(b) 45°
(c) 30°
(d) 90°
Answer: (a) 60°
18. Cot 405° equals to:
(a) cosec 15°
(b) sec 15°
(c) 1
(d) 0
Answer: (c) 1
19. If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =
(a) ab
(b) b² + a²
(c) a²b²
(d) a4b4
Answer: (c) a²b²
20. Evaluate cos 30° sin 60° + cos 60° sin 30°:
(a) 2
(b) 0
(c) 1
(d) ∞
Answer: (c) 1
21. The value of sin2 90° + √2 cos 45° + √3 cot 30° is:
(a) 2
(b) 0
(c) 4
(d) 5
Answer: (d) 5
22. If cos (A + B) = 0, then sin (A – B) is reduced to:
(a) cos A
(b) cos 2B
(c) sin A
(d) sin 2B
Answer: (b) cos 2B
23. Evaluate (cosec θ – cot θ) (cosec θ – cot θ).
(a) 0
(b) 1
(c) 2
(d) 3
Answer: (b) 1
24. If cos 9A = sin A and 9A < 90A°, then the value of tan 5A is:
(a) 0
(b) 1
(c) `\frac{1}{\sqrt{3}}`
(d) 4
Answer: (b) 1
25. Evaluate cosec θ sec θ.
(a) cos θ + tan θ
(b) cos θ – tan θ
(c) tan θ – cot θ
(d) cot θ + tan θ
Answer: (d) cot θ + tan θ
26. 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: (d) `\frac{1}{2}`
27. Evaluate (cosec2 θ – cot2 θ)2 . (cosec θ + cot θ)2.
(a) 1
(b) 0
(c) (cosec2 θ – cot2 θ)2
(d) (cosec θ + cot θ)2
Answer: (d) (cosec θ + cot θ)2
28. If sec A + tan A = x, then sec A =
(a) `\frac{x^2-1}{x}`
(b) `\frac{x^2-1}{2x}`
(c) `\frac{x^2+1}{x}`
(d) `\frac{x^2+1}{2x}`
Answer: (d) `\frac{x^2+1}{2x}`
So guys here comes end. In this article, I shared 25+ Introduction to Trigonometry MCQs of CBSE Class 10 Maths MCQs 2021-22.
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