Curated Video
Finding Trigonometric Coordinates on the Unit Circle Using Transformations
In this video, students will learn how to find the trigonometric coordinates for any angle on the unit circle. The lesson explains the process of reflecting coordinates across the axes and changing signs based on the quadrant. By using...
Curated Video
Finding Trigonometric Coordinates on the Unit Circle Using Special Right Triangles
In this video, students are taught how to find the trigonometric coordinates for angles of 30 and 60 degrees on the unit circle using special right triangles. The lesson explains the concept of the unit circle, equilateral triangles, and...
Professor Dave Explains
The Easiest Way to Memorize the Trigonometric Unit Circle
The most logical way to memorize the unit circle for good!
Khan Academy
Introduction to the Unit Circle, Trigonometry
In this video, Sal shows how the sine and cosine of an angle are defined on the unit circle. He inscribes a 30-60-90 triangle in the unit circle and explains how to use SOH-CAH-TOA to find the circle's coordinates.
Flipped Math
Unit Circle and Radians
Measure angles is easy as pi. Pupils review special right triangles to find exact values for trigonometric functions. Scholars learn about radians and how they connect to measurements in degrees. They find exact and approximate values of...
FuseSchool
Exact Trig Values - Easy Table
Having trouble remembering the trig ratios of common angles? This resource may be the solution! Using a table, the video instructor describes a memorable pattern. Scholars have an opportunity to practice the pattern during the video.
3Blue1Brown
Tattoos on Math
How is the cosecant function like a tattoo? Pupils learn about the geometric representations on a unit circle of all six trigonometric functions through a video. They also learn why secant, cosecant, and cotangent ended up affixed in...
Calculus Expert
How to Remember the Unit Circle
Seeing structure in the patterns is key to understanding the unit circle, and it takes time to become comfortable with those relationships. The video gives learners access to repeated instruction to allow time to develop those...
Curated OER
What Does the Graph of the Sine Function Look Like?
Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the sine graph by translating the y-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...
Curated OER
What Does the Graph of the Cosine Function Look Like?
Using the unit circle and the values of _ at 0, ¹/2, ¹, and 3¹/2, the instructor shows how to construct the cosine graph by translating the x-coordinate of the unit circle to the graph. She then looks at the domain, range, amplitude,...
Khan Academy
Khan Academy: Trigonometry: Inverse Trig Functions: Arcsin
Video introduces the arcsine function. Includes examples of finding the arcsine using knowledge of the unit circle. Includes link to additional practice problems. [10:36]
Khan Academy
Khan Academy: Trigonometry: Graph of the Sine Function
Video showing how to derive the graph of the sine function from the unit circle. Includes link to additional practice problems. [7:44]
Khan Academy
Khan Academy: Trigonometry: Inverse Trig Functions: Arctan
Video introduces the arctangent function. Includes an example of finding the arctangent using knowledge of the unit circle. Includes link to additional practice problems. [10:06]
Sophia Learning
Sophia: Drawing a Negative Angle: Lesson 7
This lesson show haw a negative angle can be drawn on a unit circle. It is 7 of 7 in the series titled "Drawing a Negative Angle."
Khan Academy
Khan Academy: Inverse Trig Functions: Inverse Trig Functions: Arcsin
Introduction to the inverse trig function arcsin. Includes examples of finding the arcsine using knowledge of the unit circle.
Khan Academy
Khan Academy: Squeeze Theorem: Proof: Lim (Sin X)/x
Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1
Khan Academy
Khan Academy: Line Integrals for Scalar Functions: Line Integral Example 1
Video lesson showing how to visualize, set up, and solve a line integral.
Khan Academy
Khan Academy: Unit Circle: Unit Circle Definition of Trig Functions
In this video tutorial students extend SOH CAH TOA trigonometric relationships so that we can define trig functions for a broader class of angles.
Khan Academy
Khan Academy: Unit Circle: Example: The Signs of Sine and Cosecant
Using the unit circle definition to think about the signs of the sine and the cosecant of a negative angle. [3:19]
Khan Academy
Khan Academy: Example: Unit Circle Definition to Calculate Sin and Cos
Explains how to use the unit circle definition to calculate sin and cos of multiple angles. [15:26]
Khan Academy
Khan Academy: Example: Trig Function Values Using Unit Circle Definition
Worked example that uses the unit circle definition to evaluate trig functions. [11:24]
Khan Academy
Khan Academy: Inverse Trig Functions: Inverse Trig Functions: Arctan
Understanding the arctan or inverse tangent function.
Khan Academy
Khan Academy: Trigonometry: Sine & Cosine Identities: Periodicity
Sal finds trigonometric identities for sine and cosine by considering angle rotations on the unit circle. [6:13]