Brian McLogan
Evaluate the sum difference identities of two triangles
π Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Using trig identities to verify an identity
π 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
How to Evaluate the tangent of double angle using the tangent double-angle formula
π 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
Combining rational expression with like denominators
Learn how to add/subtract rational expressions with monomials 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
Multiply Examples on simplifying Complex rational fractions
Multiply Examples on simplifying Complex rational fractions
Curated Video
Subtracting Fractions: Separating Parts to Find the Difference
In this video, the teacher explains how to subtract fractions by separating the parts to find the difference. They emphasize the importance of understanding the numerator and denominator and avoiding the common mistake of subtracting...
Curated Video
Algebraic Simplification: Focus on Fractions
The video is a lecture presentation on algebraic simplification, with a focus on fractions. The instructor explains and demonstrates how to add, subtract, multiply, and divide algebraic fractions through various examples. The video...
Brian McLogan
Using sum and difference formula to find the exact value with cosine
π 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
Summary for simplifying complex fractions
π Learn how to simplify a complex fraction. A complex fraction is a fraction with another fraction or fractions in the numerator and/or in the denominator. To simplify a complex fraction is to reduce the fraction in such a way as there...
Brian McLogan
Simplify a complex fraction by multiplying the numerator and denominator by the LCD
π 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
Learn how to solve a rational equation when the solution does not work when plugged in
π 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
Math tutorial for adding two rational expressions
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
Learning to apply the power to quotient rule with rational powers
π Learn how to simplify rational powers using the power and the quotient rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the quotient law which states...
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
Multiple Examples on Adding and Subtracting Rational Expressions
Multiple Examples on Adding and Subtracting Rational Expressions
Curated Video
How to Multiply a Fraction and a Whole Number
In this short math video we will answer a standardized math test question where we show how to multiply a fraction and a whole number. We will begin by rewriting the whole number as a fraction with a denominator of 1. We will multiply...
Curated Video
Kayla's Garden (Solve real-world problems involving multiplication of mixed numbers using equations)
Kayla is trying to calculate the area of her rectangular garden. She knows the formula to calculate the area of a rectangle. Area equals the length multiplied by the width.
Curated Video
Subtracting Fractions with the Same Denominator Using a Number Line
In this video, the teacher explains how to solve word problems involving subtracting fractions with the same denominator using a number line. The teacher demonstrates the concept using examples of fajita recipes and breaks down the steps...
Let's Tute
Identifying Terminating and Non-Terminating Decimals in Rational Numbers
In this video, the teacher explains how to determine whether a rational number has a terminating or non-terminating decimal form without actually dividing the numerator by the denominator.
Brian McLogan
Coterminial and supplementary and complimentary angle in radians described
π Learn how to find the complement and the supplement of a given angle. Two angles are said to be complementary if they add up to 90 degrees (pi/2 in radians) and are said to be supplementary if they add up to 180 degrees (pi in...
Brian McLogan
Determining coterminal angles by adding and subtracting 2pi
π Learn the basics of co-terminal angles. An angle is a figure formed by two rays that have a common endpoint. The two rays are called the sides of the angle while the common endpoint is called the vertex of the angle. We measure angles...