Home » MCQ on Class 10 Mathematics Chapter 8 | Introduction to Trigonometry

MCQ on Class 10 Mathematics Chapter 8 | Introduction to Trigonometry

By Abdur Rohman / July 9, 2024

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Chapter 8 of class 10 Mathematics as per the NCERT syllabus is Introduction to Trigonometry which deals with Trigonometric Ratios, Trigonometric Ratios of Some Specific Angles, Trigonometric Identities, etc.

Here, we have discussed 30 Multiple Choice Questions based on these topics of the chapter. These questions will help you to learn more about the chapter and test your knowledge.

For each question below, there are four options out of which only one option is correct. After selecting your answer, click on the submit button to see the score and review your answers.

MCQ on Class 10 Maths Chapter 8 Introduction to Trigonometry

1. What is the origin of the word ‘trigonometry’?

A. Latin B. Arabic C. Greek D. Sanskrit

2. What is the sine of angle A in a right triangle ABC?

A. Opposite / Hypotenuse B. Adjacent / Hypotenuse C. Opposite / Adjacent D. Hypotenuse / Opposite

3. If sin A = 1/3, what is cos A?

A. \( \frac{\sqrt{2}}{3} \) B. \( \frac{2\sqrt{2}}{3} \) C. \( \frac{2\sqrt{2}}{3} \) D. \( \frac{3\sqrt{2}}{2} \)

4. Which of the following is the definition of tangent of angle A?

A. Hypotenuse / Opposite B. Opposite / Hypotenuse C. Opposite / Adjacent D. Adjacent / Opposite

5. What is cotangent of angle A?

A. 1 / sin A B. 1 / cos A C. 1 / tan A D. Adjacent / Opposite

6. What is the value of sin 90°?

A. 0 B. 1 C. -1 D. Undefined

7. What does the hypotenuse represent in trigonometric ratios?

A. Shortest side B. Longest side C. Adjacent side D. Opposite side

8. Which mathematician introduced the term ‘sine’ in Europe?

A. Aryabhata B. Edmund Gunter C. Johannes Kepler D. Isaac Newton

9. What is the relationship between sine and cosecant?

A. Reciprocal B. Equal C. Sum D. Difference

10. What does cosine of an angle represent in terms of sides?

A. Opposite / Adjacent B. Adjacent / Hypotenuse C. Hypotenuse / Adjacent D. Adjacent / Opposite

11. What is the sine of 30°?

A. 0.5 B. 1 C. 0 D. 1.5

12. How do you define the tangent of angle A?

A. Adjacent / Opposite B. Hypotenuse / Adjacent C. Opposite / Adjacent D. Opposite / Hypotenuse

13. In trigonometry, what does ‘secant’ refer to?

A. Opposite / Adjacent B. Adjacent / Hypotenuse C. Hypotenuse / Adjacent D. Hypotenuse / Opposite

14. Which trigonometric function is abbreviated as ‘cos’?

A. Cosine B. Cotangent C. Cosecant D. Secant

15. What is the cotangent of 45°?

A. 1 B. 0 C. √2 D. -1

16. Which function is the reciprocal of the cosine?

A. Sine B. Tangent C. Secant D. Cotangent

17. What is the angle sum identity for sine?

A. sin(A + B) = sin A cos B + cos A sin B B. sin(A + B) = sin A sin B – cos A cos B C. sin(A + B) = cos A cos B – sin A sin B D. sin(A + B) = sin A cos B – cos A sin B

18. What is the Pythagorean identity?

A. sin² A + cos² A = 1 B. sin² A – cos² A = 1 C. sin A cos A = 1 D. tan² A + 1 = sec² A

19. What is the value of tan 45°?

A. 1 B. 0 C. √2 D. -1

20. What is the double angle formula for cosine?

A. cos 2A = cos² A – sin² A B. cos 2A = 2cos² A – 1 C. cos 2A = 1 – 2sin² A D. All of the above

21. Which trigonometric function is defined as adjacent/opposite?

A. Cotangent B. Tangent C. Secant D. Cosecant

22. What is the value of cosecant of 90°?

A. 1 B. Undefined C. 0 D. 1

23. What is the sine of 60°?

A. 0.866 B. 0.5 C. 1 D. 0.707

24. Which angle has a tangent of √3?

A. 30° B. 45° C. 60° D. 90°

25. What is the reciprocal of sine?

A. Cosecant B. Cosine C. Tangent D. Secant

26. Which trigonometric function is undefined at 90°?

A. Tangent B. Sine C. Secant D. Cotangent

27. What is the formula for sin(A – B)?

A. sin A cos B – cos A sin B B. sin A sin B + cos A cos B C. cos A cos B – sin A sin B D. sin A cos B + cos A sin B

28. What is the value of cos 0°?

A. 0 B. 0.5 C. 1 D. Undefined

29. What is the tangent of 0°?

A. 0 B. 1 C. Undefined D. -1

30. What is the secant of 45°?

A. √2 B. 1 C. -√2 D. 2

Review Your Answers Above.

The Bottom Line

I hope these 30 MCQs on Introduction to Trigonometry of Class 10 Maths Chapter 8 have helped you in your studies and preparation.

If you have any queries, or comments or find any mistake in the above questions, feel free to contact me in the comment section below.

I would love to hear from you.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

2 thoughts on “MCQ on Class 10 Mathematics Chapter 8 | Introduction to Trigonometry”

Maitreyee
July 29, 2024 at 12:49 pm
Confused in question no. 22 & 26?
Reply
1. Abdur Rohman
  July 29, 2024 at 2:08 pm
  The question no. 22 is asking the value of cosec 90° and
  Question no. 26 asks which trigonometric function is undefined or can not be defined at 90° like sin 90, cos 90 , tan 90, cosec 90 etc.
  Reply