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Concept Maps

Introduction to Trigonometry — Concept Maps

Madhya Pradesh Board · Class 10 · Mathematics

4 concept maps of Introduction to Trigonometry for Madhya Pradesh Board Class 10 Mathematics, each also written out as a text outline.

130 questions60 flashcards26 formulas & key relations5 concepts

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An illustration showing a student looking at the top of Qutub Minar, forming a right triangle to find its height using trigonometry.
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4 Concept Maps

Trigonometry Chapter Overview — Concepts and Connections

Trigonometry Chapter Overview — Concepts and Connections

The map in words

  • Trigonometry
    • Right Triangle
      • Hypotenuse
        • Opposite right angle
        • Longest side
      • Opposite Side
        • Faces the angle
        • Changes with angle
      • Adjacent Side
        • Next to the angle
        • Changes with angle
    • Six Ratios
      • Primary Ratios
        • sin = Opp over Hyp
        • cos = Adj over Hyp
        • tan = Opp over Adj
      • Reciprocal Ratios
        • cosec = 1 over sin
        • sec = 1 over cos
        • cot = 1 over tan
      • Quotient Relations
        • tan = sin over cos
        • cot = cos over sin
    • Standard Angles
      • 0 degrees
        • sin 0 = 0
        • cos 0 = 1
      • 30 degrees
        • sin 30 = half
        • cos 30 = root3 over 2
      • 45 degrees
        • sin 45 = 1 over root2
        • cos 45 = 1 over root2
      • 60 degrees
        • sin 60 = root3 over 2
        • cos 60 = half
      • 90 degrees
        • sin 90 = 1
        • cos 90 = 0
    • Identities
      • Pythagorean
        • sin2 + cos2 = 1
        • 1 + tan2 = sec2
        • 1 + cot2 = cosec2
      • Applications
        • Simplify expressions
        • Prove identities
        • Find unknown ratios

Trigonometry Chapter Overview — Key Concepts and Formulas

Trigonometry Chapter Overview — Key Concepts and Formulas

The map in words

  • Trigonometry
    • Trigonometric Ratios
      • sin A = opp over hyp
      • cos A = adj over hyp
      • tan A = opp over adj
      • cosec A = 1 over sin A
      • sec A = 1 over cos A
      • cot A = 1 over tan A
    • Standard Angle Values
      • 0 degrees
      • 30 degrees
      • 45 degrees
      • 60 degrees
      • 90 degrees
    • Pythagorean Identities
      • sin sq A + cos sq A = 1
      • 1 + tan sq A = sec sq A
      • 1 + cot sq A = cosec sq A
    • Key Relations
      • tan A = sin A over cos A
      • cot A = cos A over sin A
      • Reciprocal pairs

Complete Chapter Concept Map - Introduction to Trigonometry

Complete Chapter Concept Map - Introduction to Trigonometry

The map in words

  • Trigonometry
    • Right Triangle
      • Hypotenuse
      • Opposite Side
      • Adjacent Side
      • Pythagoras Theorem
    • Six Trig Ratios
      • sin A = Opp / Hyp
      • cos A = Adj / Hyp
      • tan A = Opp / Adj
      • cosec A = Hyp / Opp
      • sec A = Hyp / Adj
      • cot A = Adj / Opp
    • Reciprocal Relations
      • cosec = 1 / sin
      • sec = 1 / cos
      • cot = 1 / tan
      • tan = sin / cos
    • Standard Angles
      • 0 degrees
      • 30 degrees
      • 45 degrees
      • 60 degrees
      • 90 degrees
    • Trig Identities
      • sin2A + cos2A = 1
      • 1 + tan2A = sec2A
      • 1 + cot2A = cosec2A
    • Applications
      • Height of Buildings
      • Width of Rivers
      • Distance in Astronomy
      • Engineering

Trigonometry: study of relationships between the sides and angles of a triangle

Trigonometry: study of relationships between the sides and angles of a triangle

The map in words

  • Trigonometry: study of relationships between the sides and angles of a triangle
    • Meaning and origin of trigonometry
    • Right triangle ABC as the main model
    • Primary trigonometric ratios
    • Reciprocal trigonometric ratios
    • Dependence only on angle
    • Notation and language of trigonometry
    • History of terms and notation
    • Finding unknown sides and ratios

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Frequently Asked Questions

What are the important topics in Introduction to Trigonometry for Madhya Pradesh Board Class 10 Mathematics?
Key topics in Introduction to Trigonometry include Basics of Trigonometric Ratios, Values for Specific Angles, Trigonometric Identities, Solved Examples to Revise. Study these first, then practise questions on each for the Madhya Pradesh Board 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: Trigonometry Chapter Overview — Concepts and Connections; Trigonometry Chapter Overview — Key Concepts and Formulas. Each map is also written out as an outline on this page.
How should I revise Introduction to Trigonometry for the Madhya Pradesh Board Class 10 board exam?
Learn the core ideas first, then work through the 130 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 Madhya Pradesh Board Class 10 Mathematics Concept Maps

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