Brian McLogan
Evaluating the Composition of Two Functions, Linear and Rational
Learn how to compose two linear functions. 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 one of the functions with the value of the...
Brian McLogan
How to determine the difference between two fractions with same denominators
👉 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
Solve an equation using the double angle of sine
👉 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
Simplifying a trigonometric expression by getting common denominators
👉 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
Verifying trigonometric identities by converting to sines and cosines
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Brian McLogan
Add two trig functions using co function identities
👉 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
Adding two rational expression with constraints
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Using sum and difference formula to find the exact value with cosine
👉 Learn how to evaluate the cosine of an angle in radians 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
Learning how to factor a trigonometric expression to simplify
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Learn how to solve a rational equation when the solution does not work when plugged in
👉 Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Brian McLogan
Combining rational expression with unlike denominators
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Brian McLogan
Pre-Calculus - Using the Double Angle of Tangent to Solve an Equation
👉 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
Multiplying two functions and then determining the domain
👉 Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Brian McLogan
Combining rational expressions
Learn how to add/subtract rational expressions. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our...
Brian McLogan
Factoring Blitz- Factoring out common denominators
👉 Learn how to factor polynomials by GCF. 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. To factor an algebraic expression means to break it...
Brian McLogan
Subtract two rational expressions by obtaining common denominators
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Curated Video
Comparing Fractions: Using Number Lines
In this video lesson, students will learn how to compare fractions with different denominators by plotting them on number lines. We explain the concept of fractions as parts of a whole and demonstrates how to determine the value of...
Brian McLogan
Adding fractions with trig 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
Master Wrting the equation of a line in slope intercept form given two points
Master Wrting the equation of a line in slope intercept form given two points
Brian McLogan
Multiple examples on how to graph the reciprocal function
Multiple examples on how to graph the reciprocal function
Brian McLogan
Subtracting two rational expressions with unlike denominators
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Write the expression as a single trigonometric function
👉 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...