# MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry with Answers

Below you will find NCERT MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry with Answers which is very helpful during the preparation of examinations. These MCQ Online Test are one marks questions which will give you overview of the chapter in no time. One should try to understand Class 10 MCQ Questions as it is based on latest exam pattern released by CBSE.

Also, students can check NCERT Solutions for Class 10 Maths Chapter 8 for improving their marks and have good understanding of the chapter. ## Chapter 8 Introduction to Trigonometry MCQ Questions for Class 10 Maths with Answers

1. If x sin (90° – θ) cot (90°- θ) = cos (90° – θ) then x is
(a) 0
(b) -1
(c) 2
(d) 1
Solution (d) 1

2. If cos (40° + A) = sin 30°, the value of A is?
(a) 60°
(b) 20°
(c) 40°
(d) 30°
Solution (b) 20°

3. If A and B are the angles of a right angled triangle ABC, right angled at C, then 1+cot2A =
(a) cot2B
(b) sec2B
(c) cos2B
(d) tan2B
Solution (b) sec2B

4. In right triangle ABC, right angled at C, if tan A = 1, then the value of 2 sin A cos A is
(a) 0
(b) 1
(c) –1
(d) 2
Solution (b) 1

5. The value of θ for which 2 cos2θ + sinθ - 2 =; 0° < θ < 90° is:
(a) 60°
(b) 10°
(c) 30°
(d) 45°
Solution (c) 30°

6. (1 + tanθ + secθ) (1 + cotθ - cosecθ) equal to
(a) 0
(b) 1
(c) 2
(d) -1
Solution (c) 2

7. Given that sin A=1/2 and cos B=1/√2 then the value of (A + B) is:
(a) 30°
(b) 45°
(c) 75°
(d) 15°
Solution (c) 75°

8. The value of sin60∘cos30∘ + sin30∘cos60∘ is
(a) – 1
(b) 0
(c) 2
(d) 1
Solution (d) 1

9. Ratios of sides of a right triangle with respect to its acute angles are known as
(a) Trigonometric identities
(b) Trigonometry
(c) Trigonometric ratios of the angles
(d) None of the above
Solution (c) Trigonometric ratios of the angles

10. Sin (60° + θ) – cos (30° – θ) is equal to (where (60° + θ) and (30° - θ) are both acute angles):
(a) 0
(b) 2 cos θ
(c) 1
(d) 2 sin θ
Solution (a) 0

11. If sin θ − cos θ = 0, then the value of sin4θ + cos4θ is
(a) √2
(b) 1/4
(c) 1/3
(d) 1/2
Solution (d) 1/2

12. 9 sec2 A - 9tan2 A is equal to
(a) 1
(b) 9
(c) 8
(d) 0
Solution (b) 9

13. If x = a cos θ and y = b sin θ, then the value of b2x2 + a2y2 is
(a) a2b2
(b) a + b
(c) ab
(d) a – b
Solution (a) a2b2

14. If cos (40° + A) = sin 30°, the value of A is:​
(a) 60°
(b) 20°
(c) 40°
(d) 30°
Solution (b) 20°

15. sin (45° + 0) - cos (45° – 0) is equal to
(a) 2 cos 0
(b) 0
(c) 2 sin 0
(d) 1
Solution (b) 0

16. If 0° < < 90°, then sec 0 is
(a) >1
(b) <1
(c) =1
(d) 0
Solution (a) >1

17. If 2 cos(A + B) = 1, and 2 sin(A –B) = 1 then the values of A and B are
(a) 15°, 22°
(b) 20°, 10°
(c) 45°, 15°
(d) 30°, 45°
Solution (c) 45°, 15°

18. Out of the following options, the two angles that are together classified as complementary angles are
(a) 120° and 60°
(b) 50° and 30°
(c) 65° and 25°
(d) 70° and 30°
Solution (c) 65° and 25°

19. The value of cos θ cos(90° - θ) – sin θ sin (90° - θ) is:
(a) 1
(b) 0
(c) -1
(d) 2
Solution (b) 0

20. If sec 4A = cosec (A-20°),where 4A is an acute angle, find the value of A
(a) 12°
(b) 22°
(c) 62°
(d) 82°
Solution (b) 22°

21. The value of 2 tan245∘+ cos230∘ − sin260∘ is
(a) 0
(b) 1
(c) -2
(d) 2
Solution (d) 2

22. The value of (sin 30° + cos 30°) - (sin 60° + cos 60°) is
(a) -1
(b) 0
(c) 1
(d) 2
Solution (b) 0