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1
Functions
2
Increasing and Decreasing Functions
3
Maximums and minimums on graphs
4
Even and Odd Functions
5
Toolkit Functions
6
Transformations of Functions
7
Piecewise Functions
8
Inverse Functions
9
Angles and Their Measures
10
Arclength and Areas of Sectors OLD VERSION
11
Linear and Radial Speed
12
Right Angle Trigonometry
13
Sine and Cosine of Special Angles
14
Unit Circle Definition of Sine and Cosine
15
Properties of Trig Functions
16
Graphs of Sine and Cosine
17
Graphs of Sinusoidal Functions
18
Graphs of Tan, Sec, Cot, Csc
19
Graphs of Transformations of Tan, Sec, Cot, Csc
20
Inverse Trig Functions
21
Solving Basic Trig Equations
22
Solving Trig Equations that Require a Calculator
23
Trig Identities
24
Pythagorean Identities
25
Angle Sum and Difference Formulas
26
Proof of the Angle Sum Formulas
27
Double Angle Formulas
28
Half Angle Formulas
29
Solving Right Triangles
30
Law of Cosines
31
Law of Cosines - old version
32
Law of Sines
33
Parabolas - Vertex, Focus, Directrix
34
Ellipses
35
Hyperbolas
36
Polar Coordinates
37
Parametric Equations
38
Difference Quotient
Description:
Dive into a comprehensive 5-hour precalculus course covering a wide range of mathematical concepts. Explore functions, including increasing and decreasing functions, maximums and minimums on graphs, even and odd functions, and toolkit functions. Learn about transformations, piecewise functions, and inverse functions. Study angles, arclength, and areas of sectors. Delve into trigonometry, covering right angle trigonometry, special angles, unit circle definitions, and properties of trigonometric functions. Examine graphs of various trigonometric functions and their transformations. Master trigonometric equations, identities, and formulas, including Pythagorean identities, angle sum and difference formulas, and double and half angle formulas. Apply knowledge to solving triangles using the Law of Cosines and Law of Sines. Explore conic sections, including parabolas, ellipses, and hyperbolas. Conclude with an introduction to polar coordinates, parametric equations, and the difference quotient. Read more

Precalculus

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