NCERT Exemplar for Class 10 Maths Chapter 8 – Introduction to Trigonometry & Its Identities
NCERT Exemplar Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry and Its Identities provide students with a structured approach to mastering one of the most important topics in mathematics. This chapter introduces the concept of trigonometric ratios and their relationships, which are widely used in higher mathematics, physics, and engineering. The solutions begin by explaining the six trigonometric ratios – sine, cosine, tangent, cotangent, secant, and cosecant – in detail. Students learn how these ratios are defined in relation to the sides of a right-angled triangle. Through exemplar questions, learners practice calculating the values of these ratios for specific angles such as 0°, 30°, 45°, 60°, and 90°, ensuring strong conceptual clarity.
A major part of this chapter involves proving and applying trigonometric identities. The NCERT Exemplar Solutions provide step-by-step explanations for identities such as sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, and 1 + cot²θ = csc²θ. These identities are essential for simplifying complex trigonometric expressions and solving higher-order problems. The chapter also includes questions that test students’ ability to apply trigonometry in real-life contexts, such as calculating heights, distances, and angles of elevation and depression. By solving such problems, students understand the practical significance of trigonometry beyond the classroom. Practicing exemplar problems builds accuracy, logical thinking, and speed, all of which are crucial for scoring well in CBSE Class 10 board exams. The solutions also provide valuable exposure to higher-order questions that prepare learners for competitive exams like NTSE and Olympiads. Overall, NCERT Exemplar Solutions for Class 10 Maths Introduction to Trigonometry and Its Identities act as a complete guide, ensuring students not only master the formulas and proofs but also develop the confidence to solve both theoretical and practical problems effectively.