Instructional Video2:23
Curated Video

Understanding the Relationship between Sine and Cosine Values on the Unit Circle

K - 5th
In this lesson, students will learn about the relationship between sine and cosine values on the unit circle. By studying the coordinates of points on the unit circle, they will discover that certain angles have equal sine and cosine...
Instructional Video12:27
Curated Video

Trigonometric Ratios and the Unit Circle

Higher Ed
This video explains the definitions of the trigonometric ratios, specifically using the unit circle to determine their values beyond 90 degrees and into negatives. The video demonstrates how to use the unit circle to find the values of...
Instructional Video2:06
Brian McLogan

Learn How to Write Find the Angle That Solve the Trigonometric Equation

12th - Higher Ed
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Instructional Video3:54
Brian McLogan

Evaluating the six trigonometric functions for a given angle on the unit circle

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video4:33
Brian McLogan

Solve a trigonometric equation for all the real solutions with sine

12th - Higher Ed
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Instructional Video2:04
Brian McLogan

Plotting polar points

12th - Higher Ed
Plotting polar points
Instructional Video7:18
Brian McLogan

Evaluate a point of the unit circle for sine, cosine and tangent

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video7:25
Brian McLogan

What are the points on a unit circle in terms of 30 degrees

12th - Higher Ed
👉 Learn about the points on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Instructional Video4:24
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video2:53
Brian McLogan

Solving trigonometric equations with multiple angles

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video4:30
Brian McLogan

Finding the Unit Vector of a Vector in Standard Form

12th - Higher Ed
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Instructional Video3:47
Brian McLogan

Evaluate the trig function and inverse function

12th - Higher Ed
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Instructional Video7:15
Brian McLogan

Evaluate the six trigonometric functions of the real numbers

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video8:57
Brian McLogan

Evaluate the six trigonometric functions given an angle

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video3:01
Brian McLogan

Evaluating the six trigonometric functions with undefined values

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video2:46
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video2:56
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video2:09
Brian McLogan

Evaluate the six trigonometric functions for the given real number

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Instructional Video54:53
Brian McLogan

Double and Half Angle Formulas | Analytic Trig | Pre-Calculus

12th - Higher Ed
In this video we will explore how to use the double angle to evaluate trigonometric expressions from triangles as well as angles in degrees and radians. We will then use double angle formulas to help verify trigonometric identities and...
Instructional Video10:19
Brian McLogan

Review of trigonometry Points on the Unit Circle

12th - Higher Ed
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Instructional Video6:12
Brian McLogan

How to determine points on a unit circle with special triangles

12th - Higher Ed
👉 Learn about the points on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Instructional Video5:01
Brian McLogan

Evaluate sine using the sum and difference formula

12th - Higher Ed
👉 Learn how to evaluate the sine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Instructional Video2:54
Brian McLogan

Learn to solve your trigonometric equation with sine squared

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video3:43
Brian McLogan

Find different ways to write the same polar point

12th - Higher Ed
Find different ways to write the same polar point