Brian McLogan
Learn how to solve a quadratic by applying the difference of two squares
👉Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
How to determine the inverse of a rational function
👉 Learn how to find the inverse of a rational function. A rational function is a function that has an expression in the numerator and the denominator of the function. The inverse of a function is a function that reverses the "effect" of...
Brian McLogan
How to Solve a Radical Equation by Rewriting Your Radical with a Rational Power
👉 Learn how to solve radical equations having one radical term. To solve a radical equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of the radical by taking on...
Brian McLogan
How to simplify a trigonometric expression using even/odd identities
In this video series I will show you how to simplify trigonometric expressions. We will simplify these expression to either a single trigonometric term or number. To simplify we will use trigonometric identities such as Pythagorean,...
Brian McLogan
Graphing the Secant Function by Using Cosine
👉 Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Brian McLogan
Master Simplifying expressions with negative exponents
Master Simplifying expressions with negative exponents
Brian McLogan
Simplifying complex fractions
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
Brian McLogan
What are even and odd trigonometric functions
In this video series we explore the definitions of trigonometric identities. It is very important when simplifying, verifying and solving trigonometric problems that we know the trig identities. We will explore the identities such as...
Brian McLogan
Dividing Fractions
👉 Learn how to divide fractions. To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. (The reciprocal of a fraction is swapping the positions of the numerator and the denominator). It is...
Curated Video
Applying the Commutative Property to Division Problems
In this video, students learn about the commutative property of multiplication and how it applies to division problems. They see examples of rewriting division problems as multiplication and using the commutative property to change the...
Brian McLogan
How to simplify a trig expression using pythagorean identities
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Verifying a trigonometric Identities
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Use cofunction identities and trig identities to find the indicated trig functions
👉 Learn how to simplify basic trigonometric identities. To simplify basic trigonometric identities, it is usually more useful to convert all trigonometric functions to sine and cosine functions and then simplify. We will also explore the...
Brian McLogan
How to verify an identity by combining two rational expressions
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
How to simplify a trigonometric expression by adding two expressions
👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Brian McLogan
Writing an equation using point slope form given two points
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
How to use a triangle to evaluate for the six trig functions of 60 degrees
👉 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
Evalute your trig functions of a 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
Multiply and simplify using trigonometric identities
Multiply and simplify using trigonometric identities
Brian McLogan
Learning to Graph Cotangent with a Change in Period
👉 Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift...
Brian McLogan
Graphing the Secant Graph with Multiple Transformations
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Learn how to evaluate the six trig functions of a 30 60 90 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
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...