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Class 10 Introduction to Trigonometry Practice Questions
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CLASS 10 INTRODUCTION TO TRIGONOMETRY PRACTICE QUESTIONS
SECTION A — MCQs
If sin θ = 3/5, where θ is acute, the value of cos θ is:
A. 4/5
B. 5/4
C. 3/4
D. √(1 − 9/25)The value of sin 30° + cos 60° is:
A. 1
B. 0
C. 1/2
D. √3/2If tan θ = 1, where 0° < θ < 90°, then θ equals:
A. 30°
B. 45°
C. 60°
D. 90°Which of the following is not a trigonometric ratio?
A. sin θ
B. tan θ
C. sec θ
D. sin θ + cos θIf cos θ = 12/13, where θ is acute, then sin θ is:
A. 5/13
B. 12/13
C. 13/12
D. √(1 − 144/169)
SECTION B — 1-MARK QUESTIONS
Define the trigonometric ratio sine of an angle.
Write the value of tan 45°.
Express cosec θ in terms of sin θ.
Which trigonometric ratio is equal to sin θ / cos θ?
Write the value of cos 90°.
SECTION C — 2-MARK QUESTIONS
Find the value of sin 60° + cos 30°.
If sin θ = 5/13, where θ is acute, find cos θ.
Evaluate:
sin 45° × cos 45°Find the value of sec 30° − tan 45°.
Express tan θ in terms of sin θ and cos θ.
SECTION D – 3 MARK QUESTIONS
If sin θ = 4/5, where θ is acute, find all other trigonometric ratios of θ.
Evaluate:
sin 30° + tan 45° − cos 60°Prove that:
sin 60° / cos 30° = 1If tan θ = 3/4, where θ is acute, find sin θ and cos θ.
Find the value of:
(sec 30°)² − (tan 30°)²
SECTION E – 4 MARK QUESTIONS
Find the value of:
(sin 30° × cos 60°) + (tan 45°)²If cos θ = 15/17, where θ is acute, find sin θ and tan θ.
Evaluate:
sin 45° / (1 − cos 60°)Find the value of:
(sec 45° + tan 45°) / (sec 45° − tan 45°)
SECTION F – WORD PROBLEMS
In a right-angled triangle, the length of the perpendicular is 8 cm and the hypotenuse is 10 cm. Find the value of sin θ and cos θ for the angle θ opposite the perpendicular.
In a right-angled triangle, if tan θ = 5/12, where θ is acute, find the other trigonometric ratios of θ.
A right-angled triangle has its hypotenuse 13 cm and one side 5 cm. Find the trigonometric ratios of the acute angle opposite the smaller side.
If sin θ = 7/25, where θ is acute, find tan θ.
In a right-angled triangle, the ratio of the sides containing the right angle is 3 : 4. Find the trigonometric ratios of the angle opposite the smaller side.
Class 10 Introduction to Trigonometry Practice Questions – Complete CBSE Chapter Guide
Class 10 Introduction to Trigonometry Practice Questions are extremely important for CBSE students because this chapter introduces the foundation of trigonometry, which is later used in multiple chapters and real-life applications. Introduction to Trigonometry focuses on understanding trigonometric ratios, standard angle values, and their basic relationships. Regular practice of Class 10 Introduction to Trigonometry Practice Questions helps students gain clarity, accuracy, and confidence before board examinations.
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As per the latest CBSE exam blueprint, Introduction to Trigonometry carries around 4–5 marks in the Class 10 Board Examination. Questions from this chapter are usually asked as MCQs, short numerical problems, and basic application-based questions. Since trigonometry is concept-driven, consistent practice is essential to avoid confusion and calculation errors.
Why Class 10 Introduction to Trigonometry Practice Questions Are Important
Many students struggle with trigonometry because they try to memorise values without understanding the concepts. Solving Class 10 Introduction to Trigonometry Practice Questions helps students:
Understand the meaning of trigonometric ratios clearly
Learn how ratios are defined in a right-angled triangle
Remember standard values logically instead of rote learning
Convert word-based problems into trigonometric expressions
Build confidence for upcoming trigonometry chapters
This chapter also forms the base for Trigonometric Identities and Heights and Distances.
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Topics Covered Through Class 10 Introduction to Trigonometry Practice Questions
All Class 10 Introduction to Trigonometry Practice Questions on this page strictly follow the latest CBSE syllabus and cover the following topics:
Concept of trigonometric ratios
Definitions of sin θ, cos θ, tan θ, cosec θ, sec θ, and cot θ
Trigonometric ratios of standard angles (0°, 30°, 45°, 60°, 90°)
Relationship between different trigonometric ratios
Finding unknown trigonometric ratios from given values
Application-based questions involving right-angled triangles
No deleted or out-of-syllabus topics are included, ensuring focused board preparation.
Exam Pattern and Trends in Introduction to Trigonometry
In recent CBSE board exams, Class 10 Introduction to Trigonometry Practice Questions have appeared in the following formats:
MCQs testing basic trigonometric values
1–2 mark questions on definitions and standard values
3–4 mark questions involving evaluation of expressions
Application-based problems using right-angled triangles
These questions test both conceptual understanding and calculation accuracy, which is why repeated practice is necessary.
How These Class 10 Introduction to Trigonometry Practice Questions Help You Score 95+
Scoring high in trigonometry requires clarity in fundamentals. The Class 10 Introduction to Trigonometry Practice Questions provided on this page are designed to:
Strengthen understanding of trigonometric ratios
Improve speed in recalling standard values
Reduce confusion between different ratios
Prepare students for slightly twisted exam questions
Build confidence for advanced trigonometry chapters
With regular practice, students can convert this chapter into a safe and scoring area in the board exam.
Common Mistakes Students Make in Introduction to Trigonometry
Students often lose marks in this chapter due to:
Memorising values without understanding
Confusion between sine and cosine ratios
Incorrect use of reciprocal relationships
Calculation errors while evaluating expressions
Writing incomplete steps in long answers
Solving structured Class 10 Introduction to Trigonometry Practice Questions helps eliminate these mistakes naturally.
How to Use This Page Effectively
To get the best results from this page:
Start with MCQs to revise basic definitions
Practise standard value questions daily
Focus on expression-evaluation questions carefully
Use right-angled triangle diagrams while solving
Revise trigonometric ratios repeatedly
Following this approach ensures mastery of Class 10 Introduction to Trigonometry Practice Questions before exams.
Who Should Use These Class 10 Introduction to Trigonometry Practice Questions?
This page is ideal for:
CBSE Class 10 students
Students aiming for 95–99 marks in Mathematics
Teachers looking for concept-focused practice material
Students revising before pre-boards and final exams
The questions are aligned with actual CBSE board difficulty levels and student expectations.
Final Words
Introduction to Trigonometry is the foundation chapter of trigonometry in Class 10 Mathematics. Regular practice using high-quality Class 10 Introduction to Trigonometry Practice Questions ensures strong conceptual understanding and confidence during the board exam.
This page is designed to act as a complete practice solution for mastering Introduction to Trigonometry and preparing students for higher-level trigonometry chapters.
Daily Update: Colorful Notes, Flashcards, Tests, Worksheets, etc are shared .
Daily Update: Quizzes, Flashcards, Tests, Worksheets etc are shared .
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✅ Oswaal Class 10 SST — Topper's Choice
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✅ Oswaal Class 10 SST — Topper's Choice
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✅ Oswaal Science Class 10 — Chapter Wise
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