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,...

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,...

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]

Video showing how to derive the graph of the sine function from the unit circle. Includes link to additional practice problems. [7:44]

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]

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."

Introduction to the inverse trig function arcsin. Includes examples of finding the arcsine using knowledge of the unit circle.

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1

Video lesson showing how to visualize, set up, and solve a line integral.

In this video tutorial students extend SOH CAH TOA trigonometric relationships so that we can define trig functions for a broader class of angles.

Using the unit circle definition to think about the signs of the sine and the cosecant of a negative angle. [3:19]

Explains how to use the unit circle definition to calculate sin and cos of multiple angles. [15:26]

Worked example that uses the unit circle definition to evaluate trig functions. [11:24]

Understanding the arctan or inverse tangent function.

Sal finds trigonometric identities for sine and cosine by considering angle rotations on the unit circle. [6:13]

Sal solves a problem by considering the periodicity of the tangent function. [4:01]

In this teacher-created video, trigonometric functions are developed and explored by changing one of the angles in a right triangle. [10:57]

Sal finds the trigonometric values of pi/4 using the unit-circle definition. [7:53]

In the world of calculus, pre-calculus, and trigonometry, you will often find references toward and problems regarding "the unit circle." But, oddly, we are rarely ever taught what it is! This video will change that with an in-depth...

Trigonometric equations are just equations that feature the trigonometric ratios such as sine and cosine on the variable "x". Because of the presence of these trigonometric functions, solving these equations becomes a little more...

Given a particular angle, this lesson demonstrates how it can be drawn on a unit circle. It is 2 of 7 in the series titled "Drawing an Angle on the Unit Circle."

Given a particular angle, this lesson demonstrates how it can be drawn on a unit circle. It is 4 of 7 in the series titled "Drawing an Angle on the Unit Circle."

Given a particular angle, this lesson demonstrates how it can be drawn on a unit circle. It is 7 of 7 in the series titled "Drawing an Angle on the Unit Circle."

This lesson show how an angle of over 360 degrees can be depicted on a unit circle. It is 3 of 8 in the series titled "Drawing an Angle Over 360 Degrees."