Intro To Trigonometry

Your Complete Guide To Trigonometry And Unit Circle

What you'll learn

Learn about different type of triangles such as: right triangle, obtuse triangle, acute triangle, isosceles triangle, scalene triangle, equilateral triangle

Learn radian and degree measure with conversion

Learn degree, minute, second conversion

Learn six trigonometry functions and the unit circle

Learn special right triangles

Learn reference angle

Learn trigonometric function of any angle

Learn fundamental identities

Learn verifying trigonometric identities

Learn sum and difference formulas

Learn double angle and half-angle identities

Learn graphing sine and cosine

Learn graphing tangent and cotangent graph

Learn inverse trigonometric functions

Learn law of sine and cosine

Learn polar equations

Learn powers and roots of complex numbers

Learn trigonometric form of complex numbers

Requirements

Just some basic algebra skills like algebra 1, and be somewhat familiar with cartesian plane.

Description

In this course you will learn the essential of a college level, and high school level trigonometry course. This course will cover:Different type of triangles: right, obtuse, acute, isosceles, scalene, equilateral triangleRadian and degree measure with conversionDegree, minute, second conversionSix trigonometry functions and the unit circleSpecial right trianglesReference angleTrigonometric function of any angleFundamental identitiesVerifying trigonometric identitiesSum and difference formulasDouble angle and half-angle identitiesGraphing sine and cosine graphsGraphing tangent and cotangent graphsInverse trigonometric functionsLaw of sine and cosinePolar equationsPowers and roots of complex numbersTrigonometric form of complex numbersThis course will first introduce the different type of triangles, and how determine which triangle you have. This course will go over the six trigonometric functions and the unit circle. This course will go over right triangles, and application problems related to right triangle problems. This course will go over radian and degree measure with conversion. This course will go over special right triangle, reference angle, trigonometric function of any angle. You will learn about fundamental identities, and use those fundamental identities to do proofs. You can find sine, cosine, and tangent of angles that's not within the unit circle by using sum and difference formulas. You will learn about double angle and half-angle identities. You will learn about graphing: sine, cosine, tangent, and cotangent graphs with its shift, reflection, and translation. You will learn about inverse trigonometric functions. You can find missing side lengths or missing angles by using law of sine and cosine. Finally, the course will end with: polar equations, powers and roots of complex numbers, trigonometric form of complex numbers.

Overview

Section 1: Introduction

Lecture 1 Different Types Of Triangles

Lecture 2 Quiz 1: Different Types Of Triangles

Lecture 3 Right Triangles

Lecture 4 Part 2 Right Triangles

Lecture 5 More On Right Triangles

Lecture 6 Quiz On Right Triangle

Lecture 7 Radian And Degree Measure With Conversion

Lecture 8 Quiz: On Radian And Degree Conversion

Lecture 9 Degree, Minute, Second Conversion

Lecture 10 Six Trigonometry Functions And The Unit Cicle

Lecture 11 Part 2 Of Six Trigonometry Function And The Unit Circle

Lecture 12 Quiz: Unit Circle And The Six Trigonometric Functions

Lecture 13 Special Right Triangles

Lecture 14 Part 2 Special Right Triangle

Lecture 15 Quiz: Special Right Triangle

Lecture 16 Reference Angle

Lecture 17 Trigonometric Functions Of Any Angle

Lecture 18 Part 2 Of Trigonometric Functions Of Any Angle

Lecture 19 Quiz On Trigonometric Functions Of Any Angle

Lecture 20 Fundamental Identities

Lecture 21 Verifying Trigonometric Identities

Lecture 22 Sum And Difference Formulas

Lecture 23 Double Angle And Half-Angle Identities

Lecture 24 Sine Graph Part 1

Lecture 25 Part 2 Sine Graph

Lecture 26 Graphs Of Sine And Cosine Functions

Lecture 27 Graphing Tangent And Cotangent

Lecture 28 Inverse Trigonometric Functions

Lecture 29 Law Of Sines

Lecture 30 Law Of Cosine

Lecture 31 Polar Equations

Lecture 32 Powers And Roots Of Complex Numbers

Lecture 33 Trigonometric Form Of Complex Numbers

This course is perfect for anyone who is taking or plan to take: trigonometry, precalculus, calculus 1.