Class 10 Introduction to Trigonometry Board PYQs Hub
Topic-wise previous year questions for Class 10 Trigonometry. Master trigonometric ratios in right triangles, standard angle values ($0^\circ, 30^\circ, 45^\circ, 60^\circ, 90^\circ$), and fundamental Pythagorean identities ($\sin^2\theta + \cos^2\theta = 1, 1 + \tan^2\theta = \sec^2\theta$) with complete proofs.
Class 10 Chapter 8 Introduction To Trigonometry Previous Year Questions
Use this chapter hub to revise Introduction To Trigonometry through topic-wise previous year questions. These links help students move from chapter-level revision to focused CBSE board exam practice.
Topic-wise PYQ Practice
CBSE Board Exam Blueprint & Topic Weightage: Introduction to Trigonometry
In the Class 10 CBSE Board Examination, Introduction to Trigonometry is a high-yielding component of Unit 5: Trigonometry, consistently carrying 7 to 8 marks in the annual 80-mark written board paper. Recurring question formats observed over past board papers include:
- Section A (1 Mark MCQ): Definitions of trigonometric ratios (\(\sin, \cos, \tan, \cot, \sec, \text{cosec}\)), values at standard angles (\(0^\circ, 30^\circ, 45^\circ, 60^\circ, 90^\circ\)), and evaluating trigonometric expressions.
- Section B / C (2 or 3 Marks): Right-angled triangle ratio evaluations given one ratio (e.g. if \(\tan A = 4/3\), find other ratios), and trigonometric equations involving complementary angle relationships.
- Section D (5 Marks Identity Proof): Rigorous algebraic proofs of trigonometric identities using \(\sin^2\theta + \cos^2\theta = 1\), \(1 + \tan^2\theta = \sec^2\theta\), and \(1 + \cot^2\theta = \text{cosec}^2\theta\).
Key Revision Tips & Common Pitfalls
Memorize the standard trigonometric table thoroughly. For 5-mark identity proofs, convert all terms into \(\sin\theta\) and \(\cos\theta\) if direct identities are not obvious, or rationalize denominators with conjugate expressions (e.g. multiplying by \(1 - \sin\theta\)).