Instructional Video3:04
Brian McLogan

Find Period, Amplitude and Translations of Trigonometric Graphs

12th - Higher Ed
👉 Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Instructional Video8:06
Brian McLogan

How to Simplify Trigonometric Expressions

12th - Higher Ed
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...
Instructional Video5:48
Brian McLogan

How to find the exact value using the half angle formula for cosine

12th - Higher Ed
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Instructional Video3:02
Brian McLogan

Using the the half angle formula for sine to evaluate

12th - Higher Ed
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Instructional Video2:11
Brian McLogan

Rewrite a point in polar form to rectangular form

12th - Higher Ed
Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...
Instructional Video2:15
Brian McLogan

Finding the angle between two vectors u and v

12th - Higher Ed
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Instructional Video5:15
Brian McLogan

Given an angle and constraint find the six trig functions of the angle

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...
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 Video4:48
Brian McLogan

Using inverse tangent to solve for the missing angle of a triangle

12th - Higher Ed
👉 Learn how to find a missing angle of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles gives us the relationship between the angles of a right...
Instructional Video8:34
KnowMo

Introduction to the Cosine Function and Trigonometry Ratios

12th - Higher Ed
The video explains the basics of trigonometry, the three important ratios (sine, cosine, and tangent) used to calculate side lengths and angles in triangles, and the labeling of right angle triangles. It then focuses on the cosine...
Instructional Video3:24
Brian McLogan

Learning to evaluate the six trig functions given a equation and constraint

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to 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 Video2:42
Brian McLogan

Verify an identity using the pythagorean identities

12th - Higher Ed
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...
Instructional Video1:43
Brian McLogan

Pre-Calculus - How to Evaluate Using the Double Angle Formula for Cosine

12th - Higher Ed
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Instructional Video1:06
Brian McLogan

What is the antiderivative of sinx

12th - Higher Ed
👉 Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as...
Instructional Video2:04
Brian McLogan

Plotting polar points

12th - Higher Ed
Plotting polar points
Instructional Video3:22
Brian McLogan

Find the angle between two vectors

12th - Higher Ed
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Instructional Video2:32
Brian McLogan

How to convert a rectangular equation to polar format

12th - Higher Ed
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Instructional Video0:58
Brian McLogan

Given the magnitude and direction of a vector find it's components

12th - Higher Ed
Learn how to determine the magnitude and direction of a vector. The magnitude of a vector is the length of the vector. The magnitude of a vector is obtained by taking the square root of the sum of the squares of the components of the...
Instructional Video2:03
Brian McLogan

Learn to evaluate the integral with functions as bounds

12th - Higher Ed
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Instructional Video1:24
Brian McLogan

Learn how to find the derivative of the integral

12th - Higher Ed
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Instructional Video11:13
Virtually Passed

Spring Mass system Proof

Higher Ed
A mass that is connected to a spring will undergo simple harmonic motion. This means it's Equation of Motion is



x = A sin (w_n t + phi_1) where w_n =

(k/m)^1/2

Note that w_n is the frequency of oscillation...
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 Video1:16
Brian McLogan

Using the Pythagorean identity to verify an identity

12th - Higher Ed
👉 Learn how to verify Pythagoras trigonometric identities. A Pythagoras trigonometric identity is a trigonometric identity of the form sin^2 (x) + cos^2 (x) or any of its derivations. To verify trigonometric expression means to verify...