Katherine Cliff

Unit 1: Angles and Right Triangle Trig

Introduction to Angles and Converting between Radians and Degrees

Converting between radians and degrees examples

Coterminal Angles

Finding coterminal angles examples

Arc Length and Sector Area

Arc Length and Sector Area Examples (degrees)

Arc Length and Sector Area Examples (radians)

Angular and linear speed

Linear to angular speed example

From angular to linear speed example

Linear and angular speed example 2

Intro to trig: similar triangles

Naming the sides of a right triangle

The main three trigonometric ratios

Reciprocal Trig Functions

Using trig to solve for sides

Using inverse trigonometry to solve for angles

30-60-90 triangles

45-45-90 triangles

Trig applications intro and example 1

Trig applications example 2

Angles, standard position, and quadrants

Find quadrants for terminal sides examples

Reference angles

Using reference triangles to calculate trig ratios

Using a reference triangle to calculate trig; example 2

Calculate trig ratio given ratio and quadrant example 1

Calculate trig ratio given ratio and quadrant example 2

Reference and special right triangles in the coordinate plane example 1

Reference and special right triangles in the coordinate plane example 2

Unit 2 Lecture Videos

Introduction to the Unit Circle; sine and cosine on the axes

Building the Unit Circle

Evaluate trig functions using the unit circle examples

Memorizing the Unit Circle

Unit circle thinking

Unit circle beyond 0 to 2pi

Using the Unit Circle to Evaluate the Other Trig Functions

Other circular functions reasoning

Graphical Transformations

Parent tables and graphs for Sine and Cosine

Graphing Sinusoidal Function Example 1

Graphing sinusoidal function example 2

Graphing sinusoidal function example 3

Graphing sinusoidal function example 4

Features of sinusoidal functions

Phase Shift

Identifying features of sinusoidal from graph

Identify sinusoidal features from graph example 2

Graphing sinusoidal function example 3

Writing the equation of a sinusoidal function from a graph example 1

Writing the equation of a sinusoidal function from a graph example 2

Parent table and graph for tangent

Parent table and graph for cotangent

Features of tangent and cotangent

Graphing a tangent function using transformations

Graphing a transformed cotangent example

Parents of Cosecant and Secant

Graphing reciprocal example 1

Graphing reciprocal example 2

One-to-one functions

Definition of Inverse Functions

Inverse sine

Inverse Cosine

Inverse sine and cosine evaluation examples

Evaluating inverse trig trickier example

Evaluating trickier inverse trig problem example

Evaluate inverse trig AND regular trig examples

Inverse Tangent

Inverse Reciprocals

evaluate csc(arctan(-3/7))

General trig(arctrig) with domain

Solving by Inspection

Solving by inspection examples 3 and 4

Solving trig equations over trickier domains example 1

Solving trig equations over trickier domains examples 2 and 3

Solving trig equations over all real numbers

Solving trig with angle multiples, two methods.

Solving equations with angle multiples example 2

Solving by inspection with angle multiples and a weird domain example 3

Trig equations with algebra example 1

Solving trig equations using factoring examples

Solving trig equations with non-special answers Example 1 and generalization

Solving trig equations with nonspecial angles example 2

Unit 3 Lecture Videos

Quotient and Reciprocal Identities

Even and Odd Identities

Intro to the Pythagorean Identity

Another pythag example

Pythagorean Identities

Simplifying Example 1

Simplifying example 2 (one example, three ways)

Simplifying Example 3

Simplifying Example 4

Verification Example 1

Verification Example 2

Verification Example 3

Verification Example 4

Verification Example 5

Identities with conjugates

Cosine sum and difference identities

Cofactors and Sine Sum and Difference

Using sum and difference identities to evaluate non special angles example 1

Using sum and difference identities to evaluate non special angles example 2

Sum difference given info find diff

Use givens find sum example 2

Use sum and difference identities to simplify expressions

Use sum and difference identities to simplify expressions example 3

Use sum/difference to write as single cosine

Write as single cosine example 2

Using sum and difference identities to verify example

Why aren't we doing sum and difference identities for tangent?

Deriving the double angle identities

Example 1 use double trig in coordinate plane

Example 2 Double in coordinate plane

Double and inverse

Simplifying with double angles example 1

Simplifying with double angles example 2

Verifying with double angles example 1

Verify with double angle identities example 3

Angle Reduction Formulas

Simplifying with angle reduction example 1

Simplifying with angle reduction example 2

Half Angle Identities

Half angles to find nonspecial trig values example 1

Half angles to find nonspecial trig values example 2

Half angles to evaluate angles in the coordinate plane example 1

Half angles to evaluate angles in the coordinate plane example 2

Half and inverse

Verifying with half angles example

Solving trig equations involving identities example 1

Solving trig equations involving identities example 2

Solving trig equations involving identities example 3

Solving trig equations involving identities example 4

Solving trig equations involving identities examples 5 and 6

Solving trig equations involving identities example 7

Solving with identities condense sum/difference

Scroll down for class videos for...

Unit 1: Angles and Right Triangle Trig

Unit 2 Lecture Videos

Unit 3 Lecture Videos