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Concept Maps

Trigonometric Ratios Of Some Special Angles — Concept Maps

NIOS · Class 10 · Maths

4 concept maps of Trigonometric Ratios Of Some Special Angles for NIOS Class 10 Maths, each also written out as a text outline.

36 questions24 flashcards18 formulas & key relations5 concepts

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A labeled diagram showing a right-angled isosceles triangle (angles 45°, 45°, 90°) with sides 'a' and hypotenuse 'a√2', used to derive sine, cosine, and tangent for 45 degrees.
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4 Concept Maps

Trigonometric Ratios of Special Angles - Complete Overview

Trigonometric Ratios of Special Angles - Complete Overview

The map in words

  • Special Angles
    • 0 Degrees
      • sin 0
      • cos 1
      • tan 0
      • Undefined cot cosec
    • 30 Degrees
      • sin half
      • cos root3by2
      • tan 1byroot3
      • All ratios defined
    • 45 Degrees
      • sin cos equal
      • tan cot equal to 1
      • sec cosec equal
      • Perfect symmetry
    • 60 Degrees
      • sin root3by2
      • cos half
      • tan root3
      • Complement of 30
    • 90 Degrees
      • sin 1
      • cos 0
      • Undefined tan sec
      • cot 0
    • Applications
      • Height Distance
        • Angle of Elevation
        • Angle of Depression
        • Real world problems
      • Engineering
        • Construction
        • Navigation
        • Architecture

Complete Overview of Special Angles Chapter

Complete Overview of Special Angles Chapter

The map in words

  • Special Angles
    • Standard Values
      • 0 degrees
        • sin 0
        • cos 1
        • tan 0
      • 30 degrees
        • sin half
        • cos root3by2
        • tan 1byroot3
      • 45 degrees
        • sin 1byroot2
        • cos 1byroot2
        • tan 1
      • 60 degrees
        • sin root3by2
        • cos half
        • tan root3
      • 90 degrees
        • sin 1
        • cos 0
        • tan undefined
    • Derivation Methods
      • 45 degree triangle
        • Isosceles right
        • Sides 1-1-root2
      • 30-60 triangle
        • From equilateral
        • Sides 1-root3-2
    • Applications
      • Heights Problems
        • Angle of elevation
        • Building height
        • Tower problems
      • Distance Problems
        • Horizontal distance
        • Shadow length
      • Mixed Problems
        • Two angles
        • Observer height
    • Problem Solving
      • Draw diagram
      • Identify triangle
      • Choose ratio
      • Solve equation
      • Verify answer

Special Angles Trigonometric Ratios Overview

Special Angles Trigonometric Ratios Overview

The map in words

  • Special Angles
    • 0 Degree
      • sin 0 equals 0
      • cos 0 equals 1
      • tan 0 equals 0
      • cosec undefined
      • sec equals 1
      • cot undefined
    • 30 Degree
      • sin 30 equals half
      • cos 30 equals root3 by 2
      • tan 30 equals 1 by root3
      • cosec 30 equals 2
      • sec 30 equals 2 by root3
      • cot 30 equals root3
    • 45 Degree
      • sin 45 equals 1 by root2
      • cos 45 equals 1 by root2
      • tan 45 equals 1
      • cosec 45 equals root2
      • sec 45 equals root2
      • cot 45 equals 1
    • 60 Degree
      • sin 60 equals root3 by 2
      • cos 60 equals half
      • tan 60 equals root3
      • cosec 60 equals 2 by root3
      • sec 60 equals 2
      • cot 60 equals 1 by root3
    • 90 Degree
      • sin 90 equals 1
      • cos 90 equals 0
      • tan undefined
      • cosec 90 equals 1
      • sec undefined
      • cot equals 0

Special angle trigonometric ratios and their use in geometry and heights and distances

Special angle trigonometric ratios and their use in geometry and heights and distances

The map in words

  • Special angle trigonometric ratios and their use in geometry and heights and distances
    • Basic trigonometric ratios
    • Pythagoras theorem
    • 45 degree ratios
    • 30 degree ratios
    • 60 degree ratios
    • Angles 0 degree and 90 degree
    • Memory aid table
    • Complementary angle relations

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Frequently Asked Questions

What are the important topics in Trigonometric Ratios Of Some Special Angles for NIOS Class 10 Maths?
Key topics in Trigonometric Ratios Of Some Special Angles include Right-Triangle Trigonometric Ratios, Values of 45°, 30°, and 60°, How the special-angle values are obtained, Ratios of 0° and 90°. Study these first, then practise questions on each for the NIOS Class 10 board exam.
What do the concept maps for Trigonometric Ratios Of Some Special Angles show?
The 4 maps show how the ideas in Trigonometric Ratios Of Some Special Angles connect: Trigonometric Ratios of Special Angles - Complete Overview; Complete Overview of Special Angles Chapter. Each map is also written out as an outline on this page.
How should I revise Trigonometric Ratios Of Some Special Angles for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 36 practice questions on Trigonometric Ratios Of Some Special Angles. 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.

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