Corbett Maths
Radius and Tangent – Proof
A tangent line always finds its place at a 90-degree angle to a radius. Many scholars struggle with the proof of the seemingly simple statement. A brief video demonstrates the reasoning behind the proof before pupils practice applying it...
Khan Academy
Khan Academy: Algebra: Conic Sections: Tangent Line Hyperbola Relationship
A video lesson showing the algebraic relationship between the equation of an arbitrary hyperbola and its arbitrary tangent line. [10:04]
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: 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]
Khan Academy
Khan Academy: Geometry: Language and Notation of the Circle
Formally defines a circle and different parts of a circle. Identifies the proper notation for naming different parts of a circle. [11:12]
Khan Academy
Khan Academy: Ca Geometry: Basic Trigonometry
Demonstrates solutions to problems #61-65 of California Geometry released state test questions. Problems address the equation of a circle, basic trigonometry. [11:04]
Sophia Learning
Sophia: Secant and Cosine: Lesson 1
Relationships between the graphs of secant and cosine are explored in this lesson. It is 1 of 5 in the series titled "Secant and Cosine."
Khan Academy
Khan Academy: Basic Trigonometric Ratios: Using Trig Functions
Video using the basic trigonometric functions to find the length of a side in a right triangle. Examples are given with angle measures in radians.
Virtual Nerd
Virtual Nerd: How Do You Find the Tangent of an Angle in a Right Triangle?
In this tutorial, find out how to find the tangent of a particular angle in a right triangle. [3:13]
Virtual Nerd
Virtual Nerd: What Is a Tangent Line to a Circle?
For a line to be tangent, it must have a special relationship with a circle. It can only intersect the circle at one point. Watch this tutorial for a better understanding. [3:01]
Khan Academy
Khan Academy: Trig to Solve the Sides and Angles of a Right Triangle
Worked example using trigonometry to solve for the lengths of the sides of a right triangle given one of the non-right angles.
Khan Academy
Khan Academy: Intro to Hyperbolic Trigonometric Functions:
Khan Academy: Intro To Hyperbolic Trigonometric Functions video describes hyperbolic trigonometric functions
Khan Academy
Khan Academy: Intro to Hyperbolic Trigonometric Functions
Exploring a motivation for even defining hyperbolic sine and cosine
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: Basic Trigonometric Ratios: Basic Trigonometry Ii
A few more examples using SOH CAH TOA. Examples of finding sine, cosine and tangent for two different right triangles, including finding side lengths by the Pythagorean Theorem and rationalizing the denominator.
Khan Academy
Khan Academy: Inverse Trig Functions: Inverse Trig Functions: Arctan
Understanding the arctan or inverse tangent function.
Khan Academy
Khan Academy: Geometry: Basic Trigonometry
Problems address the equation of a circle, basic trignometry.
Khan Academy
Khan Academy: Introduction to Euclidean Geometry: Language of the Circle
In this video student learn formal definition of a circle including tangent and secant lines, diameters, radii, major and minor arcs.
Khan Academy
Khan Academy: Determining the Equation of a Trigonometric Function
Video about finding the equation of a trigonometric function from its graph.
Khan Academy
Khan Academy: Trigonometry: Tangent Identities: Periodicity
Sal solves a problem by considering the periodicity of the tangent function. [4:01]
Other
Trigonometric Functions f.tf.4
In this teacher-created video, trigonometric functions are developed and explored by changing one of the angles in a right triangle. [10:57]
Khan Academy
Khan Academy: Algebra Ii: Trig Values of Special Angles: Triangle in Unit Circle
Sal finds the trigonometric values of pi/4 using the unit-circle definition. [7:53]
Study Pug
Study Pug: Unit Circle
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...