Precalculus Crash Course: Trigonometry full course

In this course you will learn about precalculus specially focusing on Trigonometry. You will have gentle introduction and deep dive into trigonometry. Enjoy this #precalculus course and leave your feedback.

Table of Contents:

Introduction to Trigonometry

4.1 - Video 1 - Angles

4.1 - Video 2 - Measuring Angles

4.1 - Video 3 - Angle Conversions

4.2 - Video 1 - The Unit Circle

4.2 - Video 2 - Special Coordinates on the Unit Circle

4.2 - Video 3 - Applications of the Unit Circle

4.3 - Video 1 - Introduction to Right Triangle Trigonometry

4.3 - Video 2 - Special Triangles

4.3 - Video 3 - Basic Trigonometric Identities

4.4 - Video 1 - Evaluating Trigonometric Functions from Points

4.4 - Video 2 - Reference Angles

4.4 - Video 3 - Calculating Trigonometric Functions Algebraically

4.5a - Video 1 - The Sine and Cosine Graphs

4.5a - Video 2 - Transformations of the Sine and Cosine Graphs

4.5a - Video 3 - The Fundamental Period

4.5b - Video 1 - Graphing by Key Values

4.5b - Video 2 - Examples of Graphing by Key Values

4.5b - Video 3 - Transformations of Graphs

4.6 - Video 1 - Graphing the Tangent Function

4.6 - Video 2 - Graphing the Cotangent Function

4.6 - Video 3 - Graphing the Secant and Cosecant Functions

4.7 - Video 1 - Inverses of Functions

4.7 - Video 2 - Inverse Trigonometric Functions

4.7 - Video 3 - Geometric Interpretations of Inverse Trigonometric Functions

4.8 - Video 1 - Solving Right Triangles

4.8 - Video 2 - Trigonometric Word Problem Preparation

4.8 - Video 3 - Trigonometric Word Problem Example

4.8 - Video 4 - Introduction to Simple Harmonic Motion

***************************
Author of this course: The Math Repository
**************************

[jackpot]

You are one of the few channels on youtube focusing on logic behind maths etc., and you need recognition. I've just finished cs university mostly using math formulas by memory and some logic but now im redoing everything, from scratch with different sources, for in depth understanding. Thanks for giving me motivation and do continue explaining, you're awesome!

[Mark-nmsm]

I was either lazy, too dumb, had bad teachers + enviroment or a combination of those to not understand such simple concepts when i was in school ... Who would of though you would need these to understand far more complex things later on in Uni like Fourier Series, Machine Learning and so much more ( everyone would of though ) . Better late then never is a motto i like to beleive in, thank you for this quick lecture

[aaishataadamu]

I didn't precal in high school and now I'm in college taking calculus. When my professor starts talking about precal stuff, I'm just there sitting looking dumb and confused 👁👄👁. So i am very glad you made this video, its really helping me.

[TheQueenIsWithin]

I did trigs from secondary school and currently during my engineering math courses. I felt that somehow I did not learn basics thoroughly and this proves it. Yes its understandable that teachers and lecturers are pressed for time and cannot attend individually all the time to each student however this student is denied a proper foundation which will catch up with them at the higher levels. I decided to re - learn trigonometry from scratch not just for my benefit but may in later years to come there will be someone who is new to trigs and would appreciate someone who can show them within a different context to make it more understandable so that they have more confidence approaching the subject.

[Небовглазах-ны]

Hi, this is a crazy course! It's like a math version audio book. Concise but including every single logic we have to know to really understand. This is so much work you've done to create this art. Thank you so much!!

[kenbX]

This is hands on the best precalclus course I've seen. Bookmarked, and if I need to help someone with calculus because there's a clear lack of a solid precalclus foundation, this is where I send them.

[habibishapur]

trig has always been difficult for me because most people learn math by memorizing, and a lot of college professors are used to expecting that from students. Me, I cant memorize a formula or a sequence of steps if my life depended on it, but if you make me apply math in things like economics, statistics, or discrete structures, I can figure it out very quickly on the first try.

I have found that a lot of teachers and students who are used to having normal memory rely on it a lot and find it almost impossible to teach trigonometry to someone like me in a way that doesnt involve a lot of memory. This video has been very helpful in understanding what im doing while doing trig

[TheQueenofNeckbeards]

My school is kinda wack and I have to take an awful, overpriced online precalculus course cause it didn't fit into my schedule. Well made videos like these are keeping me sane.

[sweetmintkiss]

Thank you very much! Perfect concise refresher of the trig. There is a little error At 45:44 the values for X2 and X4 need swapping on the graph, correct in the calculations.

[DennSpeakz]

Your channel deserves more subs and likes...I learned so much from your number

[dcngn_]

Radians being angles measured as the distance traveled along the circumference in in respect to the
I used to hate trigonometry because I had to learn so many numbers by heart and it didn't make sense to me. It was not the teacher's fault. I just didn't pay attention back then... Glad I came across this!

[zrpalette]

The best video I’ve seen on trigonometry! I feel more confident to wrap my head around these examples and explanations. Well done.

[humester]

45:43 3pi/4 and 5pi/4 are switched on the line graph. x2 should be labeled 3pi/4 and x4 should be labeled 5pi/4.

[AlexLopez-mgqc]

I got to Nevada state college and really wish I had seen this channel when I took the course

[arnieforsman]

Hi, I enjoyed watching a couple of your videos. I am a bit confused as before the first video you mentioned some worksheets for practice. Where do I get these?

[HClutchwao]

Please use semicolon between digits in the time stamps as it could lead one to exactly where the description is for revision purposes.

[Soothsayerrr]

Section 4.3 is blank and appears to just have the 4.4 title screen up, not showing what is being spoken. This or 4.3 was cut out and 4.4 is bugged.

[keshavamurthy]

Omg, your channel made math very interesting and informative

[eevie]

You just helped me understand radians… you’re amazing

[faysalarab]

I am very excited that you did this video it helps a lot. I really cannot thank you enough and this is brilliant video.