Trigonometry Explained

Trigonometry Explained

Become a Master of Trigonometry and Ace your next Exam! In this course, you will master the concepts of Trigonometry from beginner to advanced, with our step-by-step video tutorials and test your knowledge with tough Practice Test Questions. All practice test questions in this course are fully solved with optional step-by-step solution videos. The concepts you will learn are fundamental to success in higher math classes such as Calculus and Linear Algebra.

PLEASE READ BELOW BEFORE PURCHASING:

This course is pure trigonometry and is structured for those students who only want to take trigonometry and don't need any lessons or help with algebra. If you need help with algebra, please consider selecting College Algebra & Trigonometry or Precalculus & Trigonometry. All lessons from this course can be found in those courses (College Algebra & Trigonometry, Precalculus & Trigonometry).

PLEASE READ ABOVE BEFORE PURCHASING:

• Trigonometry Basics

• Review of Angles

• Acute Angles, Obtuse Angles, Right Angles, Straight Angles

• Finding the Complement of an angle

• Finding the Supplement of an angle

• Degrees, Minutes, and Seconds

• Converting Between Decimal Degrees and Degrees, Minutes, and Seconds

• Determine if two Angles are Coterminal Angles

• Solving for Missing Angles in Similar Triangles

• Solving for Missing Sides in Similar Triangles

• Solving for Missing Angles with a Transversal Crossing Two Parallel Lines

• Finding the Trigonometric Function Values of an Angle

• Finding Trigonometric Function Values Given One Value and the Quadrant

• Finding Trigonometric Function Values Based on Reciprocal Identities

• Finding Trigonometric Function Values Based on Pythagorean Identities

• Finding Trigonometric Function Values Based on Quotient Identities

• Finding the Six Trigonometric Function Values of an Acute Angle

• Writing a Trigonometric Function in Terms of its Cofunction

• Solving Trigonometric Equations using Cofunction Identities

• Finding Reference Angles

• Special Angles as Reference Angles

• Finding Angle Measures with Special Angles

• Finding Trigonometric Function Values of Non-Acute Angles

• Finding Trigonometric Function Values Using a Calculator

• Finding Unknown Angle Measures Using Inverse Trigonometric Functions

• arcsin, arccos, arctan, arcsec, arccsc, arccot

• How to Solve Right Triangles When Two Sides are Known

• How to Solve Right Triangles Given an Angle and a Side

• How to Solve Word Problems that Involve Angles of Elevation

• How to Solve Word Problems that Involve Angles of Depression

• What are Radians

• Converting Between Radians and Degrees

• Finding Arc Length on a Circle

• Finding the Area of a Sector of a Circle

• Understanding Trigonometry Using the Unit Circle

• Circular Functions

• Solving Trigonometry word problems with Linear and Angular Speed

• Graphing Sine and Cosine

• Function Transformations with Sine and Cosine

• Finding the Amplitude, Period, Phase Shift, and Vertical Shift for Trigonometric Functions

• Using the Fundamental Trigonometric Identities to Find Missing Trigonometric Ratios

• Using the Fundamental Trigonometric Identities to rewrite Trigonometric Expressions

• How to Verify Trigonometric Identities

• Sum and Difference Identities for Sine, Cosine, and Tangent

• Finding sin(A + B), sin(A - B)

• Finding cos(A + B), cos(A - B)

• Finding tan(A + B), tan(A - B)

• Double-Angle Identities

• Product-to-Sum Identities

• Sum-to-Product Identities

• Half-Angle Identities

• Sketching the Graphs of Inverse Trigonometric Functions

• Evaluating Inverse Trigonometric Functions

• Finding the Composition of Inverse Trigonometric Functions

• Solving Trigonometric Equations Using Linear Methods

• Solving Trigonometric Equations by Factoring

• Solving Trigonometric Equations by Squaring/Square Roots

• Solving Trigonometric Equations Using Identities

• Solving Trigonometric Equations Using the Quadratic Formula

• Solving Trigonometric Equations with Half-Angles

• Solving Trigonometric Equations with Multiple Angles

• Solving Trigonometric Equations Using Inverse Trigonometric Functions

• Law of Sines (SAA) and (ASA)

• Law of Sines area formula (SAS)

• Law of Sines ambiguous case

• Law of cosines

• Finding the area of a triangle using Heron's formula (SSS)

• Finding the Component Form of a Vector

• Finding the Magnitude of a Vector

• Finding the Direction Angle of a Vector

• Finding the Resultant (Sum) of Two Vectors Graphically

• Finding the Resultant (Sum) of Two Vectors Algebraically

• Multiplying a Vector by a Scalar

• Write a Linear Combination of Unit Vectors

• Find the Dot Product of Two Vectors

• Find the Angle Between Two Vectors

• Determine if Two Vectors are Orthogonal Vectors

• Finding the Sum of Two Complex Numbers Graphically

• Finding the Polar Form of a Complex Number

• Converting between Rectangular Form and Polar Form

• Multiplying Complex Numbers in Polar Form

• Dividing Complex Numbers in Polar Form

• Product and Quotient Theorems

• De Moivre's Theorem

• Powers of Complex Numbers in Polar Form

• Roots of Complex Numbers in Polar Form

• Solving Equations Using Roots of Complex Numbers

• The Polar Coordinate System

• Plotting Polar Coordinates on the Polar Grid

• Converting Between Polar Coordinates and Rectangular Coordinates

• Writing Polar Coordinates in Multiple Ways

• Distance Between Polar Points

• Converting Lines Between Rectangular and Polar Forms

• Graphing Lines on the Polar Plane

• Converting Circles Between Rectangular and Polar Forms

• Graphing Circles on the Polar Plane

• Finding the Inclination of a Line

• Finding the Angle Between Two Lines

• Finding the Distance Between a Point and a Line

Master Trigonometry Using Step by Step Video Lessons and Test Your Knowledge with 500+ Practice Questions!

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What you will learn

• Trigonometry Basics
• Review of Angles
• Acute Angles, Obtuse Angles, Right Angles, Straight Angles

Rating: 4.5

Level: Intermediate Level

Duration: 36 hours

Instructor: John Greene, M.A.