Precalc Problems Explained

Fancy Trig Equations

noreply@blogger.com (Chris Thiel) — Fri, 02 Dec 2011 15:35:36 PST

To solve for an unknown angle we will use all sorts of clever tricks, employing the trig formulas and identities in weird and wonderful ways!

Proof of the Trig Sum and Difference Formulas

noreply@blogger.com (Chris Thiel) — Sat, 22 Oct 2011 15:00:42 PDT

Proof of the sum and difference formulas for sine, cosine and tangent

Trig Substitution & Identities

noreply@blogger.com (Chris Thiel) — Sat, 22 Oct 2011 15:01:45 PDT

Using the trig identities for substituting a Pythagorean looking expression.

Arithmetic Sequences

noreply@blogger.com (Chris Thiel) — Sun, 20 Mar 2011 15:42:28 PDT

An Arithmetic Sequence is a pattern where each element changes by adding a constant. Here are examples, as well as the proof the formula for a partial sum of an arithmetic sequence.

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

noreply@blogger.com (Chris Thiel) — Sat, 04 Dec 2010 15:38:16 PST

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

Using Sum & Difference Formulas

noreply@blogger.com (Chris Thiel) — Fri, 29 Oct 2010 20:58:51 PDT

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)

noreply@blogger.com (Chris Thiel) — Mon, 04 Oct 2010 14:01:17 PDT

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

noreply@blogger.com (Chris Thiel) — Sat, 02 Oct 2010 10:48:22 PDT

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

noreply@blogger.com (Chris Thiel) — Sun, 12 Sep 2010 08:39:36 PDT

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)

noreply@blogger.com (Chris Thiel) — Sun, 05 Sep 2010 23:00:23 PDT

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

noreply@blogger.com (Chris Thiel) — Thu, 26 Aug 2010 19:47:43 PDT

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

Intro to Precalc

noreply@blogger.com (Chris Thiel) — Sun, 18 Jul 2010 22:24:28 PDT

A broad overview of studying precalculus

Basic Algebra Review

noreply@blogger.com (Chris Thiel) — Thu, 15 Jul 2010 23:31:11 PDT

Counting Applications

noreply@blogger.com (Chris Thiel) — Fri, 23 Apr 2010 21:00:30 PDT

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

noreply@blogger.com (Chris Thiel) — Mon, 19 Apr 2010 21:01:27 PDT

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

noreply@blogger.com (Chris Thiel) — Tue, 13 Apr 2010 01:25:26 PDT

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

Counting

noreply@blogger.com (Chris Thiel) — Mon, 12 Apr 2010 18:50:50 PDT

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

Proof By Induction

noreply@blogger.com (Chris Thiel) — Sat, 27 Mar 2010 15:07:50 PDT

An overview and three examples of proving something inductively.

Fraction Decomposition, Non-Linear Systems, Symplex Method

noreply@blogger.com (Chris Thiel) — Mon, 06 Dec 2010 16:05:16 PST

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

Polynomial and Rational Functions

noreply@blogger.com (Chris Thiel) — Thu, 18 Feb 2010 00:51:22 PST

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

Sarrus 3x3 Determinant Short Cut

noreply@blogger.com (Chris Thiel) — Mon, 15 Feb 2010 20:31:36 PST

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

Matrix Applications and Pivoting

noreply@blogger.com (Chris Thiel) — Thu, 14 Jan 2010 23:11:05 PST

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

Linear Systems(Chapter 7 Test Answers)

noreply@blogger.com (Chris Thiel) — Thu, 10 Dec 2009 22:57:14 PST

Chapter 7 we learn the basics of multiple linear systems of equations, including the powerful simplex method of Dantzig.

Homework solutions on Inverse Trig & Trig Word Problems

noreply@blogger.com (Chris Thiel) — Mon, 05 Oct 2009 13:49:27 PDT

Answers to some Inverse Trig and Trig Word problems in Chapter 4 Review homework.

More Trig graphing and Trig Applications

noreply@blogger.com (Chris Thiel) — Sat, 03 Oct 2009 15:55:23 PDT

Graphing Tan, Cot, Sec, Csc functions and word problems involving the trig functions.