Triangle and Trigonometric Relationships, Functions, and Identities
Andrew Gartenburg
1 Follower
Grade Levels
10th - 12th, Higher Education
Subjects
Resource Type
Formats Included
- PDF
Pages
3 pages
Andrew Gartenburg
1 Follower
Description
Definitions and Diagrams for Relationships in Triangles professionally typeset in LaTeX using TikZ (nothing else will look more professional!)
Page 1 - Relationships in Triangles
- Right Triangles
- Pythagorean Theorem
- Primary Trigonometric Ratios
- Reciprocal Trigonometric Rations
- All Triangles
- Sine Law
- Cosine Law
- Sum of Angles
- Triangle Inequality
Page 2 - Trigonometric Functions
- Extended definitions of sine, cosine, and tangent ratios for ALL angles
- "CAST" rule and reference (related acute) angles
- "Unit Circle" ratio values as part of graph of sine and cosine
- "Special Triangles" for exact ratio values
- Definition of radian angle measure (** all diagrams include radian and degree measures **)
- Modelling and Applications: Relationships between and values for max, min, amplitude, period, etc. and their equation parameter values
Page 3 - Trigonometric Identities
- Quotient and Reciprocal Identities
- Symmetry Identities
- Pythagorean Identities
- Cofunction (i.e. Translation) Identities
- Angle Sum and Double Angle Identities
- Infinite Series Definitions
- Hyperbolic Function Definitions and Identities
Total Pages
3 pages
Answer Key
N/A
Teaching Duration
N/A
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