Brian McLogan
How to write a rectangular equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Virtually Passed
Finding angular velocity of a rotating bar using energy methods about pin - Method 1
The bar is purely rotating about the pin support, so if we view the bar as rotating around the pin, then the translational component of the kinetic energy will be 0 (because the pin is not moving). The change in gravitational potential...
Brian McLogan
Find the derivative of the inverse of a trig equation
👉 Learn how to find the derivative of the inverse of a function. 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 derivative of a...
Brian McLogan
What is the definition of the inverse cosine function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Brian McLogan
Implicit differentiation using the chain and product rule with cosine
👉 Learn how to find the derivative of an implicit function. 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 derivative of a...
Brian McLogan
Eliminate the parameter to obtain an ellipse
I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. I believe everyone can learn math...
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...
Flipping Physics
Creating Circular Motion from Sine and Cosine Curves
Demonstrating how sine and cosine simple harmonic motion waves can create circular motion.
Brian McLogan
Evaluating the composition of Functions
👉 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,...
Brian McLogan
Given two triangles in the 2nd quadrant evaluate the sum of the angles
👉 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
Write a rectangular equation in polar form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Brian McLogan
Take the derivative using chain rule of trig function and natural logarithm
👉 Learn how to find the derivative of exponential and logarithmic expressions. 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...
Brian McLogan
Find the measure of an angle using three side lengths of a triangles - math help
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exaclty how...
Professor Dave Explains
Particle in a Box Part 1: Solving the Schrödinger Equation
Now that we understand the Schrödinger equation, it's time to put it to good use, and solve a quantum problem. Let's find the eigenfunctions and eigenenergies associated with a quantum particle restricted to an infinite square well. This...
Brian McLogan
Learn the steps to evaluating the composition of inverse trig functions
👉 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,...
Brian McLogan
How to Use the Double Angle Formula to Solve for the Values of X
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
Convert a rectangular equation to polar form
Convert a rectangular equation to polar form
Brian McLogan
Learn how to use sum and difference formulas to write as one trigonometric expression
👉 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...
Brian McLogan
How to understand reflections of polar points
How to understand reflections of polar points
Virtually Passed
Derivation of Pendulum equations method 3
Derivation of Pendulum equations method 3
Flipping Physics
Introduction to Mechanical Energy with Friction
Learn how to use Mechanical Energy when the Work done by Friction does not equal zero.
Brian McLogan
When given a point, how to find the triangle to evaluate for the 6 trig functions
👉 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
Using addition of two angles with triangles to evaluate for cosine
👉 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
Using the half angle formula for sine
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...