Brian McLogan
Using the addition of two angles and tangent
π Learn how to evaluate the tangent of an angle in degrees 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
Determine the number of rational zeros
π Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
Addition and subtraction and use fundamental identities
π 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
Exam Review Solve word problem with changing angle
π Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Brian McLogan
Using operations to simplify polynomials
π Learn how to add and subtract polynomials by either using the vertical or horizontal method.
Brian McLogan
Learn how to factor a trinomial by using the ac method then solve
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
How do You Factor a Quadratic When a is not One
πLearn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Apply point slope form for two points to determine the slope and y intercept ex 4
π 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
Master Expanding Logarithmic Expressions using the rules of logarithms
Welcome ladies and gentlemen. So what I'd like to do is show you how to expand logarithmic expressions. Now expanding logarithmic expressions, what we're going to do is follow the rules of logarithms. And the rules of logarithms we have...
Brian McLogan
Determine end behavior of a polynomial
π Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Master Verifying trigonometric identities with rational expressions
Master Verifying trigonometric identities with rational expressions
Brian McLogan
Given a Polynomial Function Find All of the Zeros
π Learn how to find all the zeros of a polynomial that cannot be easily factored. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Advanced - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Curated Video
GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: Vectors - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
How do we represent subtracting vectors graphically and algebraically
Learn the basics of vector operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the corresponding components of the vectors. To multiply a scalar to a vector, we simply...
Catalyst University
Quantum Mechanics | Commutation of Operators [Example #2]
In this video, I do one example for determining whether or not two quantum operators commute [position & momentum (x-dir)]. Previous example (Example #1): https://youtu.be/tCd2U-ACr9o
Brian McLogan
Find the equation of a line that is parallel and goes through a point
π Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
How to solve a multi step equation with rational terms - (b-4)/6 = b/2
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of...
Brian McLogan
Summary for determining the slope between two points
π Learn all about the slope of a line. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line, we need to know the...
Brian McLogan
Solving a linear equation with fractions in two different ways two step equation
π Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
KnowMo
Subtracting Fractions: How to Make Denominators the Same
This video is a lesson on how to subtract fractions. The instructor explains that subtracting fractions is similar to adding fractions and emphasizes the importance of having the same denominator. The video provides examples of...
KnowMo
Using Iterative Formulae to Approximate Equations
This video is a tutorial on using iterative formulae to find approximate solutions to difficult equations. The speaker explains the concept of numerical methods and the use of trial and improvement in solving equations. They then...
Curated Video
Negative and Fractional Powers Explained
In this video, the instructor provides a lecture on negative and fractional powers, explaining how negative powers can be written as fractions and how fractional powers involve roots. The instructor demonstrates how to use the laws of...