Trigonometry — Concept Maps
Tamil Nadu Board · Class 9 · Mathematics
3 concept maps of Trigonometry for Tamil Nadu Board Class 9 Mathematics, each also written out as a text outline.
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Trigonometry - Complete Chapter Overview
The map in words
- root((Trigonometry
- Class 9))
- Basic Ratios
- sin = Opp / Hyp
- cos = Adj / Hyp
- tan = Opp / Adj
- Memory SOH-CAH-TOA
- Reciprocal Ratios
- cosec = 1 / sin
- sec = 1 / cos
- cot = 1 / tan
- Products equal 1
- Special Angles
- 0 degrees
- 30 degrees
- 45 degrees
- 60 degrees
- 90 degrees
- Complementary Angles
- Sum equals 90 degrees
- sin = cos of complement
- tan = cot of complement
- sec = cosec of complement
- Trig Tables
- Structure 0 to 90 degrees
- Minutes and seconds
- Mean Difference
- Add for sin and tan
- Subtract for cos
- Basic Ratios
Trigonometry Concepts Overview
The map in words
- Trigonometry
- Basic Ratios
- Sine theta
- opposite/hypotenuse
- Cosine theta
- adjacent/hypotenuse
- Tangent theta
- opposite/adjacent
- Sine theta
- Reciprocal Ratios
- Cosecant theta
- 1/sin theta
- Secant theta
- 1/cos theta
- Cotangent theta
- 1/tan theta
- Cosecant theta
- Special Angles
- 0 degrees
- 30 degrees
- 45 degrees
- 60 degrees
- 90 degrees
- Complementary Angles
- Sum equals 90
- sin theta = cos(90-theta)
- tan theta = cot(90-theta)
- Trigonometric Tables
- Reading values
- Mean differences
- Interpolation
- Applications
- Heights and distances
- Angle calculations
- Real world problems
- Basic Ratios
Flowchart showing the three types of sides in a right-angled triangle and how they relate to the chosen angle
The map in words
- Right-Angled Triangle
- Three Sides
- Hypotenuse Longest side Opposite right angle
- Opposite Side Opposite to angle θ
- Adjacent Side Next to angle θ Not hypotenuse
- Three Sides
- Choose an angle θ
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Sources & Official References
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