Learn Trigonometry And The Unit Circle

Precalculus and Trigonometry

What you'll learn

How to Find Inverse Trigonometric Functions

The Unit Circle's Values at Each Angle

The Half Angle and Power Reduction Formulas

Aid in evalutating Trig functions for Calculus

Requirements

Algebra

Description

Hello, and welcome to my course on Trigonometry, Trig identities, Pre-Calculus, and much more! We will be using the unit circle to aid in discovering real life applications to the functions learned here! We will also be learning trig substitutions to aid in calculus and calculus! The course will be utilizing half angles, trig functions, and what they will approximate to, finding said values via the Unit Circle! We will be committing the unit circle's values at each angle to memory, so that we will be able to find the values at the arccos, arcsin, and arctan functions when compared and contrasted to their inverses! These inverses will be accounted for by using the -x value for each trig function, be it sin, cos, tan, cot, sec, csc, arcsin, arccos, arctan, and much more! I have much experience in the subject of math, as I am a Penn state student who majors in math, calculus, and data analysis. I minor in computer science and work daily with math and vector functions to help aid development for artificial intelligence. I hope that this course will teach you all that you need to know in order to be sucessful moving on toward calculus and further on!

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 Evaluating Trigonometric Functions

Lecture 3 Trigonometric Values at Specific X Values

Lecture 4 The Secant, Cosecant, and Cotangent Functions

Lecture 5 Half angle and Power Reducing Formulas

Lecture 6 The Unit Circle

Lecture 7 Unit Circle Values at Specified Angles

Lecture 8 Finding the Height of a Tree Using Trigonometry

Lecture 9 Trigonometric Functions at Angles

Lecture 10 The Inverse Trigonometry Functions

Lecture 11 Send-Off and Recap

Students