Trigonometry
Kerala Board · Class 10 · Mathematics
Summary of Trigonometry for Kerala Board Class 10 Mathematics. Key concepts, important points, and chapter overview.
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.
1,000+ Class 10 students started this chapter today
Overview
Trigonometry is the branch of mathematics that deals with the relationships between angles and sides of triangles. In this chapter, we explore special right triangles, introduce trigonometric ratios (sine, cosine, tangent), and learn how to apply these concepts to solve real-world problems involving
Key Concepts
In 45°
In 45°-45°-90° triangles, sides are in ratio 1:1:√2. In 30°-60°-90° triangles, sides are in ratio 1:√3:2 (shortest to longest). These relationships al
sin θ = opposite side/hypotenuse
sin θ = opposite side/hypotenuse in a right triangle. For any angle θ, sine represents the ratio that remains constant regardless of the triangle's si
cos θ = adjacent side/hypotenuse
cos θ = adjacent side/hypotenuse in a right triangle. Represents horizontal components and distances from the angle's vertex. Key values: cos 30° = √3
tan θ = opposite side/adjacent side
tan θ = opposite side/adjacent side = sin θ/cos θ. Represents the slope or steepness of an angle. Key values: tan 30° = 1/√3, tan 45° = 1, tan 60° = √
Angle of elevation is measured upward
Angle of elevation is measured upward from horizontal line of sight. Angle of depression is measured downward from horizontal line of sight. Used with
Learning Objectives
- Understand the relationship between angles and sides in special right triangles (30°-60°-90° and 45°-45°-90°)
- Define and calculate trigonometric ratios: sine, cosine, and tangent
- Apply trigonometric ratios to find unknown sides and angles in right triangles
- Solve real-world problems involving heights and distances using angles of elevation and depression
- Calculate areas of triangles and other polygons using trigonometric methods
Frequently Asked Questions
What are the important topics in Trigonometry for Kerala Board Class 10 Mathematics?
How to score full marks in Trigonometry — Kerala Board Class 10 Mathematics?
Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Trigonometry
Important Questions
Practice with board exam-style questions
Syllabus
What topics to cover
Revision Notes
Key points for last-minute revision
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Formula Sheet
All formulas in one place
Practice Quiz
Test yourself with a quick quiz
Concept Maps
See how topics connect visually
For serious students
Get the full Trigonometry chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Kerala Board Class 10 Mathematics.