# Trigonometry

Helpful videos made by other instructors that coincide with our Math 150 textbook.

### Chapter 1 Angle Basics

Angle Relationships and Types of Triangles

Animation: The Sum of the Interior Angles of a Triangle

Working with Degrees, Minutes, and Seconds

Animation: Angles in Standard Position

Determine if Two Angles Are Coterminal

Determine a Coterminal Angle Between 0 and 360 Degrees

Determine Positive and Negative Coterminal Angles

### Chapter 2 Trigonometric Functions Using Right Triangles

Congruent and Similar Triangles

Introduction to Trigonometric Functions Using Triangles

Find Trig Function Values Using a Right Triangle - Length of Hypotenuse Missing

Determine What Trig Function Related Specific Sides of a Right Triangle

Determine Trig Function Value Given a Right Triangle

Determine the Length of a Side of a Right Triangle Using a Trig Equation

30-60-90 and 45-45-90 Reference Triangles

**Trigonometric Function Values Using Angles in Standard Position**

Introduction to Trigonometric Function Using Angles in Standard Position

Properties of Trig Functions: Domain, Range, and Sign in each Quadrant

Trig Identities: Reciprocal, Quotient, Pythagorean

Determine Trigonometric Function Values on the Calculator

Determine Trigonometric Function Values using Reference Angles and Reference Triangles.

Determine the Reference Angle for a Given Angle

Determine the Quadrant of the Terminal Side of An Angle Given Trig Function Signs

Determine the Area of a Triangle Using the Sine Function

**The Unit Circle**

Determine Trigonometric Function Values using the Unit Circle

Sine and Cosine Values Using the Unit Circle - Multiples of 30 degrees

Sine and Cosine Values Using the Unit Circle - Multiples of 30, 45 degrees

Determining Basic Trig Function Values Using The Unit Circle

Determining Trig Function Values Using The Unit Circle

Find a Point on the Unit Circle Given One Coordinate

**Determining Trigonometric Function Values and Angles**

Determine Trig Function Values Given a Point on the Terminal Side of an Angle

Determine Trig Function Values from Given Information

Angles that Have the Same Sine and Cosine Function Values

Find the Point on a Circle Given an Angle and the Radius

Find Trig Function Values Given the Cosine Value and Quadrant

Find Trig Function Values Given the Sine Value and Quadrant - Irrational

Find Trig Function Values Given the Tangent Value and Quadrant

Find Half Angle Trigonometric Function Values Given Cosecant of an Angle

Determine Angles that have the same Trig Function Value Using the Unit Circle

Determine Angles with the Same Trig Function Value

Angles that Have the Same Sine and Cosine Function Values

Find the Point on a Circle Given an Angle and the Radius

**Solving Right Triangles**

Intro to Inverse Trig Functions to solve right triangles

Determine the Measure of an Angle of a Right Triangle

Properties of Trig Functions: Domain, Range, and Sign in each Quadrant

Solving Right Triangles: Part 1: The Basics

Solve a Right Triangle Given an Angle and the Hypotenuse

Solve a Right Triangle Given an Angle and a Leg

Find the Reach of a Ladder - Right Triangle Application

Solving Right Triangles: Part 2: Applications

Find Height of Building Using Angle of Elevation and Angle of Depression

Determining an angle and other trig function values given a since trig function value

Solve a Right Triangle Using Inverse Trigonometric Functions

### Chapter 3 Videos

**Radian Measure and Applications or Radian Measure**

Converting Angles in Degree Measure to Radian Measure

Convert Angles in Radian Measure to Degree Measure

Determining Coterminal Angles in Radian Measure

Sine and Cosine Values Using the Unit Circle - Multiples of pi/6 radians

Sine and Cosine Values Using the Unit Circle - Multiples of pi/4 radians

Determine Exact Trig Function Values With the Angle in Radians Using the Unit Circle

Determine Exact Trig Function Values With the Angle in Radians Using Reference Triangles

Determine Angles that have the Same Trig Function Value on the Interval [0, 360)

Arc Length and Area of a Sector

Arc Length and Application of Arc Length

Determine Arc Length of the Earth

Find the Angle that Subtends a Given Arc Length

Area of a Sector and Area Bounded by a Chord and Arc

Linear Velocity and Angular Velocity

Determine the Number or Revolutions Per Second of a Car Tire

Determine Angular and Linear Velocity

Determine Trig Function Values Using Reference Triangles

Sine and Cosine Values in Radians Using Reference Triangles - Multiplies of pi/6 and pi/3

Sine and Cosine Values in Radians Using Reference Triangles - Multiplies of pi/4

Sine and Cosine Values Using Reference Triangles - Degrees

Find Six Trig Function Values Using Reference Triangles - Negative Degrees

Find Six Trig Function Values Using Reference Triangles - Mult. of pi/6

Find Six Trig Function Values Using Reference Triangles - Mult. of pi/4

### Chapter 4 Videos Graphing Trigonometric Functions

Graphing the Sine and Cosine Functions

Graph the Sine Function Using the Unit Circle

Animation: Graphing the Sine Function Using the Unit Circle

Animation: Graphing the Cosine Function Using the Unit Circle

Graphing the Tangent Function Using the Unit Circle and the Reciprocal Identity

Animation: Graphing the Tangent Function Using the Unit Circle

Graphing the Cosecant and Secant Functions

Graphing the Secant Function Using the Cosine Function

Ex: Graphing the Cosecant Function Using the Sine Function

Domain of the Secant and Cosecant Functions Using the Unit Circle

Graphing the Cotangent Function

Graphing Cosine, Sine, and Tangent on the TI84

Graphing Secant, Cosecant, and Cotangent on the TI84

**Graphing Transformations of Trigonometric Functions**

Amplitude and Period of Sine and Cosine

Horizontal and Vertical Translations of Sine and Cosine

Graphing Sine and Cosine with Various Transformations

Animation: Transformations of Sine in the form y = Asin(B(x â€“ D)) + C

Describe the Transformations of a Trig Function from a Graph

Graphing a Transformation of Sine and Cosine

Graphing a Transformation of Sine and Cosine

Graphing a Transformation of Sine and Cosine

Graphing a Transformation of Sine and Cosine

Find the Equation of a Transformed Cosine Function - Form: Acos(Bx)

Find the Equation of a Transformed Sine Function - Form: Asin(B(x-D))

Find the Equation of a Transformed Cosine Function - Form: Acos(Bx)+C

Determining the Equations of Sine and Cosine Functions

Determine the Equation of a Transformed Sine Function From a Graph

Find a Trig Function from a Table of Values - No Phase Shift

Find a Trig Function from a Table of Values - With Phase Shift

Graphing Tangent and Cotangent over different Periods

Graphing a Transformation of Cosecant Function

Graphing the Tangent Function Over a Different Period

Graphing a Transformation of the Cotangent Function

Graph a Transformation of the Tangent Function (Period and Horizontal Shift)

Graph a Transformation of a Secant Function (Period and Horizontal Shift)

Find the Equation of a Transformed Cosecant Function From The Graph

Find the Equation of a Transformed Secant Function From The Graph