Trig with Vectors, Complex Numbers, apps (Precalc 6)

Using the law of sines and cosines, we explor vectors, complex numbers and applications (aka "Word problems").

Using Sum & Difference Formulas

Here we find the trig functions of other angles based on the sum and difference of two angles, the double or half angle. We will prove these formulas in a different video

Some more Trig Word Problems (4.8, 4.R)

Here we use the trigonometry from our first Trig Chapter (4 in our textbook) to review how sine, cosine and tangent are used to solve word problems

Inverse Trig Functions and Trig Word Problems

Use the inverse trig functions to find unknown angles and use everything you know about sine cosine and tangent to solve word problems

Hon Algebra 2 Trig Test 1 answers

Some are getting ready for calculus by taking a Honors Algebra 2 with Trigonometry. Here are topics from Chapter 1 of the Sullivan text that are part of any Honors Algebra 2 class.

Graphing Trig Functions (4.1-4.6)

Here we have basic angles in radians, and graphing the trig functions of these angles. These functions, with their ability to transform waves with different periods and amplitudes, can be used to mathematically express all sorts of waves we find in real life. These ideas are from Sections 4.1 to 4.6 of our Precalculus book by Larsen.

Radians and Unit Circle Trig Quiz Answers

Quiz answers on radian angles, unit circle and right triangle trig (Sections 4.1-4.4)

Intro to Precalc

A broad overview of studying precalculus

Basic Algebra Review

Counting Applications

We consider how to put together our counting techniques to find out the probability of a royal flush, and figure out how many ways to give five fish to three dolphins using the partition technique.

Farkle

The old dice game "Farkle" is explained and probabilities are discussed. Special "Thank You"'s go to Br Jack, Br Chris, and all my Christian Brother buddies at Camp La Salle!

See http://www.mathorama.com/farkle.html for a written summary of the rules

Binomial Theorem

Using the Binomial Theorem to expand binomials, Pascal's Rule, and an inductive proof of the Binomial Theorem. Video

Counting

Sets, Venn Diagrams, Intersections, Unions, Counting and the Multiplication Rule

Proof By Induction

An overview and three examples of proving something inductively.

Fraction Decomposition, Non-Linear Systems, Symplex Method

Answers to a Chapter 12 Test on Partial Fraction Decomposition, Non Linear Systems and the Simplex Method

Polynomial and Rational Functions

Factoring using synthetic division, and graphing techniques for polynomial and rational functions

Sarrus 3x3 Determinant Short Cut

A short-cut for finding the determinant of a 3x3 (or higher) matrix

Matrix Applications and Pivoting

Find the area of triangles and polygons from their co-ordinates. Use the pivot technique to find a inverse matrix or gaussian elimination or solve a system of equations