MCQ Questions for Class 10 Maths: Ch 8 Introduction to Trigonometry - GMS - Learning Simply
Students' favourite free learning app with LIVE online classes, instant doubt resolution, unlimited practice for classes 6-12, personalized study app for Maths, Science, Social Studies, video e-learning, online tutorial, and more. Join Telegram

MCQ Questions for Class 10 Maths: Ch 8 Introduction to Trigonometry

Please wait 0 seconds...
Scroll Down and click on Go to Link for destination
Congrats! Link is Generated

MCQ Questions for Class 10 Maths: Ch 8 Introduction to Trigonometry



1. 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
► (d) sec x = cosec y

2. sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°
► (d) 0°

3. If ΔABC is right angled at C, then the value of cos (A + B) is
(a) 0
(b) 1
(c) 1/2
(d) √3/2
► (a) 0

4. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ____
(a) -1
(b) 0
(c) 1
(d) 2
► (c) 1

5. If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =
(a) ab
(b) b2 + a2
(c) a2b2
(d) a4b4
► (c) a2b2

6. If cos A + cos2 A = 1, then sin2 A + sin4 A is
(a) -1
(b) 0
(c) 1
(d) 2
► (c) 1

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

8. If tan 2A = cot (A – 18°), then the value of A is
(a) 24°
(b) 18°
(c) 27°
(d) 36°
► (d) 36°

9. If tan θ = 12/5, then 1+sinθ/1-sinθ  is equal to
(a) 24
(b) 12/13
(c) 25
(d) 9
► (c) 25

10. If sin θ − cos θ = 0, vthen the value of θ is
(a) 90°
(b) 30°
(c) 45°
(d) 60°
► (c) 45°
11. 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 these
► (c) trigonometric ratios of the angles

12. 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°
► (c) 65° and 25°

13. (1 + tanθ + secθ) (1 + cotθ - cosecθ) is equal to
(a) 0
(b) 1
(c) 2
(d) -1
► (c) 2

14. If √3tanθ = 3sinθ, then the value of sin2θ−cos2θ is
(a) 0
(b) 1
(c) 1/2
(d) 1/3
► (d) 1/3

15. 7 sin2θ + 3 cos2θ = 4 then :
(a) tan θ = 1/√2
(b) tan θ = 1/2
(c) tan θ = 1/3
(d) tan θ = 1/√3
► (d) tan θ = 1/√3

16. If sin A = 1/2,  then the value of cot A is
(a) √3
(b) 1/√3
(c) √3/2
(d) 1
► (a) √3

17. If cos 9α = sin α and 9α < 90°, then the value of tan 5α is
(a) 1/√3
(b) √3
(c) 1
(d) 0
► (c) 1

18. 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°
► (c) 75°

19. If sin x + cosec x = 2, then sin19x + cosec20x =
(a) 219
(b) 220
(c) 2
(d) 239
►(c) 2

20. 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
► (b) 1

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

22. If 0° < θ < 90°, then sec 0 is 
(a) >1
(b) < 1
(c) =1
(d) 0
► (a) >1

23. 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
► (b) cos 2β

24. sin (45° + θ) – cos (45° – θ) is equal to
(a) 2 cos θ
(b) 0
(c) 2 sin θ
(d) 1
► (b) 0


About the Author

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s visio…

Post a Comment

Cookie Consent
We serve cookies on this site to analyze traffic, remember your preferences, and optimize your experience.
Oops!
It seems there is something wrong with your internet connection. Please connect to the internet and start browsing again.
AdBlock Detected!
We have detected that you are using adblocking plugin in your browser.
The revenue we earn by the advertisements is used to manage this website, we request you to whitelist our website in your adblocking plugin.
Site is Blocked
Sorry! This site is not available in your country.