Class 10 Mathematics Chapter 8: Introduction to Trigonometry — practice questions with answers
Free practice for Class 10 Mathematics, Chapter 8: Introduction to Trigonometry. Try the solved questions below, then take a free test with instant marking and explanations.
64 questions26 easy, 29 medium, 9 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. In ΔABC right-angled at B, sin A equals ______.
- BC/AC
- AB/AC
- BC/AB
- AC/BC
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Answer: A. BC/AC
Why: sin A = side opposite A / hypotenuse. [p.114]
Why: sin A = side opposite A / hypotenuse. [p.114]
Q2. The word 'trigonometry' comes from Greek words meaning three, sides and ______.
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Answer: measure
Why: tri (three) + gon (sides) + metron (measure). [p.114]
Why: tri (three) + gon (sides) + metron (measure). [p.114]
Q3. Which Indian mathematician first used the idea of sine (ardha-jya) in Aryabhatiyam?
- Aryabhata
- Brahmagupta
- Bhaskara II
- Ramanujan
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Answer: A. Aryabhata
Why: Aryabhata, A.D. 500, used ardha-jya for the half-chord. [p.116]
Why: Aryabhata, A.D. 500, used ardha-jya for the half-chord. [p.116]
Q4. What is the value of tan 45°?
- 1
- 0
- √3
- 1/√3
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Answer: A. 1
Why: In an isosceles right triangle the two legs are equal. [p.125]
Why: In an isosceles right triangle the two legs are equal. [p.125]
Q5. What is the value of cos 60°?
- 1/2
- √3/2
- 1/√2
- 0
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Answer: A. 1/2
Why: cos 60° = 1/2 = sin 30°. [p.125]
Why: cos 60° = 1/2 = sin 30°. [p.125]
Q6. Which identity holds for 0° ≤ A ≤ 90°?
- sin² A + cos² A = 1
- sin A + cos A = 1
- sec² A + tan² A = 1
- cosec² A + cot² A = 1
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Answer: A. sin² A + cos² A = 1
Why: Divide AB² + BC² = AC² by AC². [p.128]
Why: Divide AB² + BC² = AC² by AC². [p.128]
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Frequently asked questions
How many practice questions are there for Class 10 Mathematics Chapter 8: Introduction to Trigonometry?
64 questions (26 easy, 29 medium, 9 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 10 Mathematics syllabus, used by CBSE and many state boards.