Brian McLogan
Algebra 2 - Simplifying a complex number by multiplying by i on the top and bottom, 5/i
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Curated Video
Invisible Ones in Math
This video lesson will identify the many invisible 1's in math. The intent is to review and fully understand values written as fractions and variables. This lesson will also provide a base for introducing exponents.
Curated Video
Multiplying a Whole Number by a Unit Fraction Using the Number Line
Multiply a whole number (a) by a fraction of the form (1/b) and recognize the equivalence of aĆ(1/b) and a/b on the number line.
Curated Video
Subtracting Rational Numbers
In this video lesson we will learn that we use the same rule for subtracting rational numbers as we did for subtracting integers. We will rewrite the subtraction problem to be an addition problem by adding the opposite value. Fondly...
KnowMo
Introduction to Percentages and Conversions
This is a lecture style video that provides an introduction to percentages. The instructor explains what a percentage is and how it is closely linked to fractions and decimals. They provide real-world examples of how percentages are...
Brian McLogan
How to determine the difference between two fractions with same denominators
š Learn how to add or subtract fractions with common denominators. When adding or subtracting two or more fractions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then...
Brian McLogan
Fraction Misconception: Adding numerator & denominator with unlike denominators
š Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Evaluating the six trig functions for an angle in sixths
š Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Evaluate the 6 trig functions using the unit circle
š Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Evaluating for the tangent of an angle using the sum formula, tan
š 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
Subtracting two rational trig expression to simplify
š 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
How to apply the sum of angles for the tangent of an angle
š 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
Adding and simplifying two trigonometric fractions
š 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
Half angle formula cosine
š Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Dividing two rational expressions using the quotient rules of exponents
š Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
Learn how to use the power to product and power to quotient rule with multiple exponents
š Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Learn how to divide functions, rational
š Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
How to simplify an expression using rules of exponents
š Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Brian McLogan
Pre-Calculus - Adding rational expressions with and imaginary conjugates 2i/(2+i) + 5/(2-i)
In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can only...
Brian McLogan
Master Simplifying expressions using all the rules of exponents
Master Simplifying expressions using all the rules of exponents
Brian McLogan
Learning how to find all the possible rational zeros of a polynomial using the rational zero test
š 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
Learn to solve an equation raised to a rational power
š Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn How to Compose Two Rational Functions and Simplify
Learn how to compose two functions where one or both of those functions is/are rational. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...