Brian McLogan
Algebra 2 - How do you simplify a complex number to a high power i^ 31
In this video tutorial I show you how simplify imaginary numbers to a higher power. When working with imaginary numbers we notice that the value of imaginary numbers repeat after the degree 4. Therefore when we have an imaginary number...
Brian McLogan
How to find the inverse of a linear equation domain and range
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
How to Compose Two Functions and then Determine the Domain, Rational and Radical
Learn how to compose two functions where one is a rational function and the other is a radical function. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the...
Brian McLogan
Graph and order these numbers from least to greatest
In this video series I show you how to graph and order numbers. It is important when graphing and ordering numbers that we have all of our numbers simplified and written in the same form. We then can arrange the numbers from least to...
Brian McLogan
Given a quadratic function, find the inverse and determine if a function or not
👉 Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Brian McLogan
Algebra 2 - Subtracting complex numbers with radicals 7 root(-18) - 2 root(-32)
In this video tutorial I will show you how to add and subtract complex numbers. When combining complex numbers it is important for us to understand that we must have like terms. We then add and subtract in either the horizontal or...
Brian McLogan
Standard form to vertex form of a quadratic function
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Master Evaluating the half angle for sine, cosine, and tangent given a right triangle
Master Evaluating the half angle for sine, cosine, and tangent given a right triangle
Brian McLogan
Rationalizing the denominator with a radical
👉 Lean how to divide rational expressions with a radical in the denominator. To divide rational expressions with a radical in the denominator, we rationalize the denominator by multiplying both the numerator and denominator by the...
Brian McLogan
Solving a quadratic by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Completing the square of two functions
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Curated Video
Pythagorean Theorem and the Coordinate Plane
This video lesson will introduce how to find the distance in the Coordinate Plane using the Pythagorean Theorem.
Why U
Algebra 75 - Completing the Square - part 1
Quadratic equations can be solved using the "zero product property" once the quadratic expression has been factored into a pair of linear expressions. However, until the development of a technique called "Completing the Square", only...
Brian McLogan
Lecture quadratic functions and it's solutions
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Flipping Physics
Impulse for Two Objects being Attracted to One Another
In a universe devoid of anything else, two identical spheres of mass, m, and radius, R, are released from rest when they have a distance between their centers of mass of X. Find the magnitude of the impulse delivered to each sphere until...
Virtually Passed
Work Energy Proof Part 1 - Kinetic Energy
This video will prove that the total work done on a particle between positions 1 and 2 equals the change in kinetic energy.
Brian McLogan
How to evaluate a piecewise function when it contains a hole
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Brian McLogan
Sketch a triangle given a trig angle then determine remaining trig functions of angle
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Brian McLogan
Zeros and multiplicity from vertex form of a quadratic
Zeros and multiplicity from vertex form of a quadratic
Brian McLogan
Solve a trig equation with a double angle
👉 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
Pre-Calculus - Learn How To Evaluate the Double Angle of Sine
👉 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)...
Brian McLogan
How to evaluate for the cosine of an angle using the half angle formula
👉 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...
Brian McLogan
How to solve trigonometric equation with tangent
👉 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...
Brian McLogan
Simplify an expression using the sum and difference formulas
👉 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...