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Chp 6 Trigonometric Functions (Overview (6.1 Trig Functions, 6.2 Trig…
Chp 6 Trigonometric Functions
6.1 Trig Functions of Acute Angles
Trig Ratios (functions)
Special angles, 30, 45, 60
Isosceles
Equilateral
All 6 Trig Functions
the first 3, SOH-CAH-TOA
the last 3 are reciprocals of the first 3
DMS and Decimal Degree Form
6.2 Applications of Right Triangles
Solving right triangles (finding all values)
Solving for sides
using known sides and angles
solving for angles
Using the inverse of the function with known sides or function values
nuances to solving for right triangles
Transversals
Complementary angles
substitution
6.3 Trig Functions of Any Angle
Coterminal angles
Coordinates on a terminal side
Complementary and Supplementary angles
quadratal angles, ending on axis
Reference angles
6.5 Circular Functions: Graphs and Properties
trig functions of real numbers (s) along the unit circle
real number (s) is, in a unit circle, both the distance along the circle and the angle of theta
Graphs
tan/cotangent graphs and properties
Sine/Cosine graphs and properties
Corresponding cosecant/secant graphs
Unit Circle Coordinates
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Coordinates found from reflections
6.6 Graphs of Transformed Sine/Cosine Functions
The Constants
A. vertical Stretching/Shrinking
(stretch if A > 1)
B. Horizontal Stretching/Shrinking (Shrink if 1 > A)
C. Phase Shifting (C/B)
D. Vertical shifting
Addition of Ordinates
Adding the y values of each function forms the points of the new graph
Multiplication of Ordinates
Multiplying the y values of each function forms the points of the new graph
Overview
6.1 Trig Functions
6.2 Trig functions and right triangles
6.3 Trig functions on
any
angle
6.4 The Unit Circle
6.5 Circular Functions
6.6 Graphs of Sine/Cosine Functions