Brian McLogan
Solving an equations using the sum and difference formulas of cosine
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
How to use magnitude and direction from a word problem to write the vector
Learn how to write a vector in component form when given the magnitude and direction. When given the magnitude (r) and the direction (theta) of a vector, the component form of the vector is given by r(cos(theta), sin(theta)).
Brian McLogan
Determine the dot product between two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Math Fortress
Calculus II: Integration By Parts (Level 3 of 6)
This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
TMW Media
Kinetic Energy And The Work - Energy Theorem: Solving another problem
Given certain parameters, how would you solve this problem? Kinetic Energy And The Work - Energy Theorem, Part 5
Brian McLogan
Simplifying an expression using the difference of two angles with sine
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Virtually Passed
projectile with drag part 1
What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too like...
Flipping Physics
Introductory Kinetic Friction on an Incline Problem
You place a book on a 14° incline and then let go of the book. If the book takes 2.05 seconds to travel 0.78 meters, what is the coefficient of kinetic friction between the book and the incline?
Curated Video
Graphing Sinusoidal Functions: Observing the Unit Circle and Plotting Points
In this video, students will learn how to graph sinusoidal functions by plotting points and observing the terminal ray of the unit circle. They will understand the patterns and periodicity of the sine and cosine functions, and how to...
Math Fortress
Calculus II: Trigonometric Integrals (Level 4 of 7)
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 basic example illustrating the case...
Curated Video
Using a Unit Circle to Find Trigonometric Function Values
Learn how to use a unit circle to study angles and find the values of sine, cosine, and tangent functions. The teacher reviews the ratios of sides in special triangles and emphasizes the importance of drawing the reference triangle...
Brian McLogan
Given an angle and constraint find the six trig functions of the angle
👉 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...
Brian McLogan
Given a point learn how to evaluate the six trig functions with reference angle
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
Evaluating the six trigonometric functions given a right triangle
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Brian McLogan
Simplifying a trigonometric expression using half angle formula
👉 Learn how to write the trigonometric function given the expression. We will focus on the expression for the half-angle of sine, cosine and tangent. When given the expression we will need to determine which function's identity is equal...
Brian McLogan
Learn how to find the angle between two vectors
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...
Brian McLogan
Pre-Calculus - Using the sum formula for cosine to evaluate an angle cos(75)
👉 Learn how to evaluate the cosine 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...
Brian McLogan
Evaluating the sum and difference for Secant
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Evaluate the limit using sine and cosine special limits
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
Product rule with cosine and a monomial derivative
👉 Learn how to find the derivative of a function using the product rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Virtually Passed
Math Puzzle - Inventing a function
What is a function f(x) such that: x f(x) 1 1 2 1 3 2 4 2 5 3 etc... The trick to solving this puzzle is to find a function which returns 1 for even numbers and 0 for odd numbers!
TMW Media
Projectile Motion: Solving another problem
Given certain parameters, how would you solve this other problem? Projectile Motion, Part 5
Brian McLogan
Evaluate your six trig functions when given cotangent and a constraint on cosine
👉 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...
Brian McLogan
Evaluating Inverse Trigonometric Functions
👉 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...