Udemy – Trigonometry Explained

Udemy – Trigonometry Explained
English | Tutorial | Size: 19.12 GB


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

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, you should select College Algebra, Precalculus, & Trigonometry Explained. All lessons from this course can be found in that course.

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

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