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The Complete Guide to Trigonometry
Rating: 4.5 out of 5(27 ratings)
165 students

The Complete Guide to Trigonometry

Become a trigonometry master
Created byMike O
Last updated 10/2019
English
English [Auto],

What you'll learn

  • Understand the 6 main trigonometry functions
  • Solve challenging word problems using trigonometry
  • Understand the Laws of Sine and Cosine
  • Use the unit circle and inverse trig functions
  • Graph the primary trigonometry functions and their transformations
  • Prove difficult trigonometric identities
  • Find trigonometry values using double, half-angle, and sum and different identities
  • Solve challenging trigonometry equations using a range of algebraic techniques

Course content

4 sections • 79 lectures • 10h 36m total length

  • Welcome to the course!1:02
  • Triangles 101: What is trigonometry?5:29

    The following document will be a good reference to have handy throughout the course: http://tutorial.math.lamar.edu/pdf/Trig_Cheat_Sheet.pdf

  • Set your calculator to degree mode1:08
  • Sine, Cosine, and Tangent4:35
  • Secant, cosecant, and cotangent3:20
  • Find all 6 trig functions, part 13:58
  • Find all 6 trig functions part 24:37
  • The one thing to memorize in trig: 30-45-60 table9:20
  • How to find missing sides in a triangle5:15

    Identify whether sine, cosine, or tangent applies, then solve the resulting algebra to find missing triangle sides. Explore adjacent, opposite, and the hypotenuse with examples and multiple methods.

  • What is an inverse?6:52
  • How to find missing angles in a triangle3:48
  • How tall is the tallest basketball player ever?4:12
  • Using trig to save your cat stuck in a tree4:38

    Apply trigonometry to solve a ladder problem by using sine with opposite 7 feet and hypotenuse 20 feet. Determine the ladder angle, about 20.5 degrees, to reach the cat safely.

  • CHALLENGE: Which mountain is this?10:45
  • Angles 101: The basics7:58

    Master the basics of angles—vertex, initial and terminal sides, rays, lines, and line segments—in degrees, including right angles, straight angles, full circles, the four quadrants, and negative angles.

  • Coterminal angles3:50
  • What is a radian? (And how to convert radians to degrees)6:55
  • Circle arc length6:43
  • Sector area of a circle3:53

    Apply the circle area formula to find sector areas, using radians and degrees to identify fractions of the circle, as shown with 7π/4 and 45° examples.

  • Trig functions in the coordinate plane5:09

    Explore trig functions on coordinate plane by mapping sine to y over radius, cosine to x over radius, and tangent to y over x, linking to unit circle and slope.

  • All Students Take Calculus: Acronym to recall positive and negative values5:01
  • Find trig values in the coordinate plane6:10

    Learn to find sine, cosine, tangent for a point in the coordinate plane using a 3-4-5 triangle, sohcahtoa, and quadrant signs in the third quadrant.

  • Finding trig functions for quadrantal angles4:40
  • Reference angles11:03
  • Finding exact trig values, part 110:42
  • Finding exact trig values, part 25:03
  • Finding exact trig values, part 39:26
  • How do you find the area of a triangle?3:47
  • Finding the area of a triangle2:07
  • What is the Law of Sines?3:33
  • Can you have 2 answers to the same problem?8:55
  • Law of Sines, part 17:17
  • Law of Sines, part 29:28
  • Law of Cosines, part 19:55
  • Law of Cosines, part 26:58
  • Unit 1 Test C #1-14 Solutions13:07
  • Unit 1 Test C #15-17 Solutions9:55

Requirements

  • Geometry
  • Algebra 2

Description

Is math a challenge for you?  Then consider what Albert Einstein wrote to a 7th grade student asking for advice on her math classes: "Don't worry about your difficulties in mathematics.  I can assure you that mine are still greater."


Math is challenging for everyone, even those who are great at it (it just doesn't feel hard for them until they reach a higher level.  But it's still hard).


But anyone can learn to do math well provided they have someone available to give them a good explanation.  Look no further than this course.


I'm a high school mathematics teacher, and this course is designed to help you master trigonometry.  It's a no-fluff version of all the trig essentials you would learn in a complete trigonometry course in school, with clear and to-the-point explanations geared towards helping you master the basics in the shortest time possible.  


No stone is left unturned to give you the most complete trigonometry course out there.


One of the most important factors in learning any skill, math included, is the guidance of a patient and experienced instructor who can clearly explain to you what you need to do.  Here are some reactions from some of my students and their parents who have worked with me:

  • "He has certainly fostered a love for math in my daughter."--Parent

  • "Very clear and thorough. Our daughter enjoys his class and is excelling in the subject.”--Parent

  • "I think he is an awesome math teacher. He really enjoys math and always challenges us.”--Student

  • "One of my favorite teachers. His teaching method is understandable and very easy to comprehend."--Student

  • "Best math teacher I have ever had"--Student


Who this course is for:

  • Anyone who wants to master trigonometry
  • Students looking to prepare for the SAT and ACT
  • Those looking to brush up on forgotten math skills
  • Anyone who enjoys solving problems
  • Homeschool students or parents wanting to match their curriculum to a standard classroom curriculum
  • Students looking to remediate over the summer, or get ahead for next school year

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