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Precalculus

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Syllabus

Functions.
Increasing and Decreasing Functions.
Maximums and minimums on graphs.
Even and Odd Functions.
Toolkit Functions.
Transformations of Functions.
Piecewise Functions.
Inverse Functions.
Angles and Their Measures.
Arclength and Areas of Sectors OLD VERSION.
Linear and Radial Speed.
Right Angle Trigonometry.
Sine and Cosine of Special Angles.
Unit Circle Definition of Sine and Cosine.
Properties of Trig Functions.
Graphs of Sine and Cosine.
Graphs of Sinusoidal Functions.
Graphs of Tan, Sec, Cot, Csc.
Graphs of Transformations of Tan, Sec, Cot, Csc.
Inverse Trig Functions.
Solving Basic Trig Equations.
Solving Trig Equations that Require a Calculator.
Trig Identities.
Pythagorean Identities.
Angle Sum and Difference Formulas.
Proof of the Angle Sum Formulas.
Double Angle Formulas.
Half Angle Formulas.
Solving Right Triangles.
Law of Cosines.
Law of Cosines - old version.
Law of Sines.
Parabolas - Vertex, Focus, Directrix.
Ellipses.
Hyperbolas.
Polar Coordinates.
Parametric Equations.
Difference Quotient.

Taught by

Linda Green

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