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Chapter 22 of 26
Concept Maps

Introduction To Trigonometry — Concept Maps

NIOS · Class 10 · Maths

4 concept maps of Introduction To Trigonometry for NIOS Class 10 Maths, each also written out as a text outline. Part of the NIOS Class 10 Maths syllabus.

42 questions24 flashcards8 formulas & key relations5 concepts

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An illustration showing various real-life scenarios where trigonometry is used, such as finding the height of a tree, the height of a kite, the width of a river, or the distance an aeroplane has trave
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4 Concept Maps

Trigonometric Ratios Overview

Trigonometric Ratios Overview

The map in words

  • Trigonometry
    • Basic Ratios
      • Sine
        • Opposite over Hypotenuse
        • sin theta
      • Cosine
        • Adjacent over Hypotenuse
        • cos theta
      • Tangent
        • Opposite over Adjacent
        • tan theta
    • Reciprocal Ratios
      • Cosecant
        • Hypotenuse over Opposite
        • cosec theta
      • Secant
        • Hypotenuse over Adjacent
        • sec theta
      • Cotangent
        • Adjacent over Opposite
        • cot theta
    • Identities
      • Pythagorean
        • sin squared plus cos squared equals 1
        • sec squared minus tan squared equals 1
        • cosec squared minus cot squared equals 1
      • Complementary
        • sin 90 minus theta equals cos theta
        • cos 90 minus theta equals sin theta

Trigonometry Concepts Overview

Trigonometry Concepts Overview

The map in words

  • Trigonometry
    • Basic Ratios
      • sin theta
        • opposite/hypotenuse
      • cos theta
        • adjacent/hypotenuse
      • tan theta
        • opposite/adjacent
      • Reciprocals
        • cosec theta
        • sec theta
        • cot theta
    • Fundamental Identities
      • sin squared plus cos squared equals 1
      • sec squared minus tan squared equals 1
      • cosec squared minus cot squared equals 1
    • Complementary Angles
      • sin becomes cos
      • tan becomes cot
      • sec becomes cosec
    • Problem Solving
      • Two sides given
        • Use Pythagoras
      • One ratio given
        • Use k method
      • Identity proofs
        • Work one side to other

Trigonometric Ratios Overview

Trigonometric Ratios Overview

The map in words

  • Trigonometric Ratios
    • Primary Ratios
      • sin θ = opp/hyp
      • cos θ = adj/hyp
      • tan θ = opp/adj
    • Reciprocal Ratios
      • cosec θ = hyp/opp
      • sec θ = hyp/adj
      • cot θ = adj/opp
    • Applications
      • Height and Distance
      • Navigation
      • Engineering
    • Key Relationships
      • Reciprocal Pairs
      • Complementary Angles
      • Fundamental Identities

Introduction To Trigonometry

Introduction To Trigonometry

The map in words

  • Introduction To Trigonometry
    • Meaning of trigonometry
    • Applications
    • Right triangle foundation
    • Acute angle theta
    • Six trigonometric ratios
    • Primary trigonometric ratios
    • Reciprocal ratios
    • Notation rules

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Frequently Asked Questions

What are the important topics in Introduction To Trigonometry for NIOS Class 10 Maths?
Key topics in Introduction To Trigonometry include Trigonometric Ratios in a Right Triangle, Finding Ratios from Given Sides, Relations Among Trigonometric Ratios and Standard Values, Trigonometric Identities. Study these first, then practise questions on each for the NIOS Class 10 board exam.
What do the concept maps for Introduction To Trigonometry show?
The 4 maps show how the ideas in Introduction To Trigonometry connect: Trigonometric Ratios Overview; Trigonometry Concepts Overview. Each map is also written out as an outline on this page.
How should I revise Introduction To Trigonometry for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 42 practice questions on Introduction To Trigonometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Introduction To Trigonometry

All NIOS Class 10 Maths Concept Maps

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