Class 10 Mathematics — Chapter 8: Introduction to Trigonometry
67 practice questions · 23 Easy · 23 Medium · 21 Hard
Practise Class 10 Mathematics Chapter 8, "Introduction to Trigonometry", with 67 NCERT-aligned multiple-choice questions. The set is split into 23 Easy, 23 Medium and 21 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams and the JEE & NEET foundation years.
"Introduction to Trigonometry" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.
Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Introduction to Trigonometry, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 10 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 67.
Key concepts: Introduction to Trigonometry (Class 10 Mathematics)
Trigonometry relates the angles of a right triangle to the ratios of its sides. This chapter defines the six ratios, their standard-angle values, and the key identities.
- Trigonometric ratios
- For an acute angle in a right triangle: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent.
- Reciprocal ratios
- cosec = 1/sin, sec = 1/cos, cot = 1/tan.
- Standard angles
- Memorise the values of sin, cos and tan at 0°, 30°, 45°, 60° and 90°.
- Complementary angles
- sin(90° − θ) = cos θ and tan(90° − θ) = cot θ — ratios swap with their co-ratios.
- Pythagorean identities
- Three identities link the squares of the ratios and hold for every valid angle.
Key formulas — Introduction to Trigonometry
💡 Exam tips for Introduction to Trigonometry
- tan θ = sin θ / cos θ — convert everything to sin and cos when an identity won't simplify.
- tan 90° and sec 90° are not defined (division by zero); cot 0° and cosec 0° are not defined either.
Sample questions
In a right triangle, sin θ is defined as:
sin θ = opposite side / hypotenuse.
If sin θ = 3/5, then cos θ equals:
sin² θ + cos² θ = 1 ⇒ cos² θ = 1 − 9/25 = 16/25 ⇒ cos θ = 4/5.
sec² θ − tan² θ equals:
Standard identity: sec² θ − tan² θ = 1 (derived from sin² θ + cos² θ = 1).
Introduction to Trigonometry — FAQs
What are the key concepts in Class 10 Mathematics Introduction to Trigonometry?+
Trigonometry relates the angles of a right triangle to the ratios of its sides. This chapter defines the six ratios, their standard-angle values, and the key identities. Key ideas include Trigonometric ratios, Reciprocal ratios, Standard angles, Complementary angles, Pythagorean identities.
What does Class 10 Mathematics Chapter 8 (Introduction to Trigonometry) cover on XamBaaz?+
It covers 67 NCERT-aligned MCQs on "Introduction to Trigonometry" — 23 Easy, 23 Medium and 21 Hard — each with a timed quiz and an instant explanation, suitable for CBSE Board exams and the JEE & NEET foundation years.
Are these "Introduction to Trigonometry" questions free to practise?+
Yes — sign in with Google to practise "Introduction to Trigonometry" free. Full unlimited access is ₹999/year (limited-time launch price), with no per-chapter charges.
How should I revise "Introduction to Trigonometry" for the exam?+
Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.
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