Free Course Image Trigonometry full course

Free online courseTrigonometry full course

Duration of the online course: 9 hours and 48 minutes

New

Master trig fast: use the unit circle, radians, and special angles to solve problems with confidence in this free online course—earn a certificate if available.

In this free course, learn about

  • Core trig ideas: angles, triangles, and trigonometric ratios (sin, cos, tan)
  • Unit circle coordinates: x=cos(θ), y=sin(θ) using an angle in standard position
  • Radian measure vs degrees; how to convert between them
  • Why 360° is convenient: many divisors enable common angle partitions of a circle
  • Evaluate sine/cosine at key unit-circle angles (e.g., 45°, 150°) using reference angles
  • Compute sin(5π/4) on the unit circle and determine its sign by quadrant
  • Find coterminal/related angles that share the same sine value as a given angle

Course Description

Build real confidence with trigonometry by learning the ideas that make everything else easier: angles, circles, and the meaning behind sine and cosine. This free online course is designed for beginners and for students who want a clearer, more practical understanding of how trigonometry works in school math. Instead of memorizing disconnected rules, you will focus on the core relationships that help you solve problems quickly and accurately.

A major goal is to make the unit circle feel intuitive. You will connect an angle in standard position to a point on a circle with radius 1, and understand how the coordinates of that point give you the most important trigonometric values. Once that click happens, topics like special angles and quadrants stop being confusing: you will know why signs change, how reference angles help, and how to reason your way to the correct result even when the angle looks unfamiliar.

You will also become comfortable moving between degrees and radians, including why radians are used so often in math and how common angles relate to values involving π. With guided practice, you will work with angles like 45° and 150°, interpret angles beyond one full turn, and recognize equivalent sine values by symmetry. The course strengthens accuracy on classic questions, from reading coordinates on the unit circle to evaluating sine at angles like 5π/4.

By the end, you should be able to interpret angles, choose efficient strategies, and solve trigonometry questions with less guessing and more reasoning. Whether you are preparing for an exam, catching up on fundamentals, or building a base for calculus and physics, this course helps you turn trigonometry into a tool you can rely on.

Course content

  • Video class: Trigonometry full course for Beginners 9h48m
  • Exercise: In trigonometry, when working with a unit circle, what values are used to determine the coordinates of a point corresponding to a given angle on the circle?
  • Exercise: If a circle has a radius of 1, what is the sine of an angle that is 5π/4 radians from the positive x-axis in the standard position?
  • Exercise: Which angle, given in degrees, has the same sine value as 150°?
  • Exercise: What is the main advantage of using 360 degrees to measure angles in a circle?
  • Exercise: What is the radius measure called that is often used instead of degrees to measure angles?
  • Exercise: On the unit circle, what is the sine of 45 degrees?

This free course includes:

9 hours and 48 minutes of online video course

Digital certificate of course completion (Free)

Exercises to train your knowledge

100% free, from content to certificate

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