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Brian McLogan
Given a point find the six trigonometric functions of the angle
π Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
How to find the product of the square root of two numbers, root(5) . root(50)
π Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
How to solve a quadratic by factoring a GCF from two terms
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
How to determine if a point lies on a line or not using the point and the equation
π Learn all about points lines and planes. In this playlist, we will explore how to how to identify, write, label all points lines, and planes. We will learn how to determine the distance between two points as well as the midpoint. Learn...
Brian McLogan
How to determine the inverse of a logarithmic equation y=loga (x)
π Learn how to convert logarithmic equations to exponential equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
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
Applying the product rule to simplify an expression with exponents
π Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
Brian McLogan
Summary solving by factoring a quadratic when a=1
πLearn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
Master Determine if a given equation is an example of direct variation or not
Master Determine if a given equation is an example of direct variation or not
Brian McLogan
Composition of Functions Real World Example
Composition of Functions Real World Example
Brian McLogan
Characteristics of Polynomials | Polynomials | Pre-Calculus
In this lesson we explore how to identify the zeros, multiplicity and end behavior of a polynomial when in factored form. We also use this information to sketch the graph of a polynomial.
Brian McLogan
How to determine the infinite sum of a geometric series
π Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
How to determine the sum of a finite geometric sequence
π Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
Solving a quadratic mentally by factoring
πLearn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Learn to solve a quadratic by factoring a=1
πLearn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
How do you solve a quadratic by factoring out the GCF
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
Graphing a line using slope intercept form from standard form
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Summary of multiplying by any digit - The fastest way to do math
π You will learn how to multiply integers from one digit to multiple digits. When multiplying it is important to understand that multiplication is just repeated addition. However with multi-digit numbers we will follow a step by step...
Brian McLogan
Write the first five terms of a sequence with factorials
π Learn how to find the first five terms of a sequence. Given an explicit formula for a sequence, we can find the nth term of the sequence by plugging the term number of the sequence for n in the given formula. When n = 1, 2, . . ., 5...
Brian McLogan
Math tutorial for how to find the common difference of a sequence
π Learn how to determine if a sequence is arithmetic, geometric, or neither. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of...
Brian McLogan
How to solve a equation using difference of two angles
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
What to never do in your math class - Most common algebra mistakes
π Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
Writing the inverse of another function as an inverse function
π Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...