Math Full Courses - Trigonometry Full Course

Master Math Fundamentals: From Pre-Algebra to Complex Calculations with GreeneMath.com! Dive into comprehensive courses and practice, ensuring you're always a step ahead in Algebra, Trigonometry, and more.

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What you'll learn

Understand the differences between Algebra 1, Algebra 2, College Algebra, and Pre-Calculus
Perform operations with whole numbers, integers, fractions, and decimals
Solve and graph linear and quadratic equations including inequalities
Apply trigonometric identities and solve trigonometric functions and equations

This course includes

553.5 hours of video
Certificate of completion
Access on mobile and TV

Summary

Keywords

trigonometry trigonometric functions right triangles in trigonometry unit circle graphing circular functions trigonometric identities trigonometric equations law of sines law of cosines vectors in trigonometry complex numbers in trigonometry polar equations

Full Transcript

http://www.greenemath.com/ In this full course, we will cover all the major topics of Trigonometry. Trigonometry is typically part of a Pre-Calculus course. Here, we will learn about the six Trigonometric functions (sine, cosine, cosecant, secant, tangent, and cotangent). We will then move on to study the unit circle, how to graph trigonometric functions, how to work with trigonometric identities, how to solve trigonometric equations, how to solve right triangles and oblique triangles (law of sines and cosines), how to work with vectors, and then finish up by discussing complex numbers in Trigonometry. 00:00:00 Angles 00:12:09 Degrees, Minutes, Seconds 00:24:53 Coterminal Angles 00:34:27 Similar Triangles 00:52:23 Trigonometric Functions 01:05:28 Reciprocal Identities 01:24:37 Pythagorean Identities 01:46:29 Trigonometric Functions of Acute Angles 02:05:59 Trigonometric Functions of Non-Acute Angles 02:26:36 Estimating Trigonometric Function Values 02:39:09 Solving Right Triangles 02:51:34 Radian Measure 03:03:26 Arc Length on a Circle 03:16:44 Unit Circle and Circular Functions 03:33:25 Linear and Angular Speed 03:47:18 Graphing Sine and Cosine 04:54:46 Graphing Tangent and Cotangent 06:14:48 Graphing Secant and Cosecant 07:17:32 Fundamental Identities 07:37:03 Verifying Trigonometric Identities 07:59:41 Sum and Difference Identities for Cosine 08:31:24 Sum and Difference Identities for Sine and Tangent 08:57:31 Double-Angle, Product-to-Sum, and Sum-to-Product Identities 09:23:29 Half-Angle Identities 09:43:23 Inverse Trigonometric Functions 11:01:40 Solving Trigonometric Equations Part 1 (Linear) 11:18:08 Solving Trigonometric Equations Part 2 (Factoring) 11:44:17 Solving Trigonometric Equations Part 3 (Identities) 12:04:29 Solving Trigonometric Equations Part 4 (Half-Angles) 12:25:47 Solving Trigonometric Equations Part 5 (Multiple Angles) 13:01:08 Solving Trigonometric Equations Part 6 (Inverse Trig Functions) 14:04:00 Solving Trigonometric Inequalities 14:34:10 Law of Sines (Oblique Triangles) and Area of a Triangle 14:56:19 Law of Sines (Ambiguous Case) 15:30:37 Law of Cosines and Heron's Formula 16:06:13 Introduction to Vectors (Magnitude and Direction Angle) 16:30:29 Operations with Vectors 16:46:18 Dot Product and Angle Between Vectors 17:13:58 Review of Complex Numbers 17:39:18 Polar Form of a Complex Number 18:08:42 The Product and Quotient Theorem 18:47:15 De Moivre's Theorem 19:32:58 Polar Coordinates 20:05:56 Distance Between Polar Points 20:32:05 Lines in Polar Form 21:02:12 Circles in Polar Form 21:58:35 Inclination of a Line Practice Tests are free using GreeneMath, you can watch the videos in order and practice when you are done: https://greenemath.com/Precalculus.html#trig-functions Join this channel to get access to perks: https://www.youtube.com/channel/UCTy8D3wAtiJtSuA-2YOEfAw/join