Trigonometry Explained

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

4.78 (20 reviews)

Udemy

platform

English

language

Math

What you will learn

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

Graphing Function Transformations of Sine and Cosine

Finding the Period, Amplitude, 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

Solving Trigonometric Equations

Inverse Trigonometric Functions

Finding the Composition of Trigonometric Functions

Solving Trigonometric Equations with Half-Angles and Multiple Angles

Solving Trigonometric Equations Using Inverse Trigonometric Functions

Law of Sines (ASA) and (SAA)

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 Sum of Two Vectors

Multiplying a Vector by a Scalar

Writing a Linear Combination of Unit Vectors i and j

Find the Dot Product (Inner Product) of Two Vectors

Find the Angle Between Two Vectors

Determine if Two Vectors are Orthogonal Vectors

Complex Numbers in Trigonometry

Adding Complex Numbers Graphically

Finding the Polar form of a Complex Number

Converting between rectangular form and polar form

Multiplying Numbers in Polar Form

Dividing Numbers in Polar Form

Product and Quotient Theorems for Complex Numbers

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

Polar Coordinates

Plotting Polar Coordinates on the Polar Grid

Converting Between Polar Coordinates and Rectangular Coordinates

Writing Polar Coordinates in Multiple Forms

Distance Between Polar Points

Converting Lines Between Rectangular and Polar Forms

Graphing Lines on the Polar Grid

Converting Circles Between Polar and Rectangular Forms

Graphing Circles on the Polar Grid

Finding the Inclination of a Line

Finding the Angle Between Two Lines (Acute)

Finding the Angle Between Two Lines (Obtuse)

Finding the Distance Between a Point and a Line

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