Trigonometri | 7. Ders | 10. Sınıf Matematik Konu Anlatımı | 1. Tema | Maarif Model | TAF-10

Zihin haritası özeti: Trigonometry

Directed Angles
- Positive Direction
  - Counterclockwise
- Negative Direction
  - Clockwise
- Angle Notation
  - Starting Side
  - Terminal Side
Unit Circle
- Definition
  - Center Origin
  - Radius 1
  - Equation x²+y²=1
- Coordinates
  - Cosine (Abscissa)
  - Sine (Ordinate)
- Quadrant Analysis
  - Quadrant I
  - Quadrant II
  - Sign Patterns
Special Angles
- 120 Degrees
  - cos 120 = -1/2
  - sin 120 = √3/2
- 135 Degrees
  - cos 135 = -√2/2
  - sin 135 = √2/2
- Supplementary Angles
  - Sine Property
  - Cosine Negation
Trigonometric Identities
- sin²α + cos²α = 1
  - Unit Circle Proof
- Complementary Angles
  - sin(90-x) = cos x
  - cos(90-x) = sin x
- Supplementary Relations
  - sin(180-x) = sin x
  - cos(180-x) = -cos x
  - tan(180-x) = -tan x
Triangle Applications
- Angle Sum 180°
  - Complementary Problems
  - Interior Angles
- Work & Force
  - Horizontal Component
  - Work Formula
Foundation Concepts
- Right Triangle Ratios
  - sin = opposite/hypotenuse
- Grade 11 Preparation
  - Critical Concepts
  - Unit Circle Base

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