Trigonometry — Chapter Summary
Maharashtra Board · Class 9 · Mathematics
Summary of Trigonometry for Maharashtra Board Class 9 Mathematics. Key concepts: In a right, Three fundamental ratios and For complementary angles.
Interactive on Super Tutor
Studying Trigonometry? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.
Free trial, no card needed.
Overview
Trigonometry is a fascinating branch of mathematics that helps us solve real-world problems involving heights, distances, and angles. The word comes from Greek words meaning 'triangle measurement.' This chapter introduces the fundamental concepts of trigonometry using right-angled triangles, startin
Key Concepts
In a right
In a right-angled triangle, we identify three sides relative to any acute angle: the hypotenuse (longest side opposite to 90°), the opposite side (sid
Three fundamental ratios
Three fundamental ratios: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent. These ratios remain constant for simila
For complementary angles (angles that add
For complementary angles (angles that add up to 90°): sin θ = cos(90° - θ), cos θ = sin(90° - θ), and tan θ × tan(90° - θ) = 1. Also, sin θ/cos θ = ta
Specific trigonometric values for 0°
Specific trigonometric values for 0°, 30°, 45°, 60°, and 90° derived from special triangles: 30°-60°-90° triangle and 45°-45°-90° isosceles triangle.
30°
30°-60°-90° triangle has sides in ratio 1:√3:2, and 45°-45°-90° triangle has sides in ratio 1:1:√2. These ratios help derive standard trigonometric va
Learning Objectives
- Understand the origin and meaning of trigonometry
- Learn the three basic trigonometric ratios: sine, cosine, and tangent
- Identify opposite, adjacent sides and hypotenuse in right-angled triangles
- Establish relationships between trigonometric ratios of complementary angles
- Calculate trigonometric ratios for standard angles (0°, 30°, 45°, 60°, 90°)
Frequently Asked Questions
What are the important topics in Trigonometry for Maharashtra Board Class 9 Mathematics?
How should I revise Trigonometry for Class 9 exams?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Trigonometry
For serious students
Get the full Trigonometry chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Maharashtra Board Class 9 Mathematics. Free to start, no card needed.