Brian McLogan
Find the partial sum of the 150th term in a sequence
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
Solving an equation with variable on both sides infinite solutions
π Learn how to solve multi-step equations with parenthesis and 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...
Brian McLogan
Evaluating the sum of an infinite series
π Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n...
Brian McLogan
Master solving a system of equations by substitution with no solution and infinite many
Master solving a system of equations by substitution with no solution and infinite many
Brian McLogan
Learn how to graph vertical lines when x equals a value
π Learn how to graph linear equations with one variable. When given a linear equation with one variable in the form x = a or y = c, the two forms of linear equations results in a vertical and horizontal lines respectively. The graph of...
Brian McLogan
When given the first four terms of a sequence find the formula
π Learn how to determine the first five terms of an arithmetic sequence. 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. An arithmetic sequence is a...
Brian McLogan
How to Graph Tangent with a Horizontal Shift to the Right
π Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
Steps to evaluate the inverse trig functions as composition
π Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Learn how to solve a trigonometric equation with cosine
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Curated Video
Statistics for Data Science and Business Analysis - The Various Types of Data We can Work With
This video explains about the various types of data to work with. This clip is from the chapter "Descriptive Statistics Fundamentals" of the series "Statistics for Data Science and Business Analysis".This section describes the...
Brian McLogan
Why does inverse trig functions have restrictions Function explanation
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Brian McLogan
Solving trigonometric equations
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
How can we describe our solutions to a system of equations
πLearn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making...
Brian McLogan
What are the formulas for arithmetic and geometric sequences
π Learn about sequences. 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 sequence, among which are: arithmetic and geometric...
Brian McLogan
Solving an equation with variables on both side and one solution
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
Determining the smallest positive and negative coterminal angles
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...
Brian McLogan
How to solve a trigonometric equation with sine and cosine
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Given the vertex and a point find the equation of a parabola
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Pre-Calculus - Learn to find the sum of an arithmetic series
π Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
Write the equation of a parabola given a vertex and point
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
APMonitor
Python π Loops
There are two basic types of loops including for and while. A for loop is to repeat code a predetermined number of times. A while loop is to repeat code but where the stopping condition may not be known before the loop starts.
Brian McLogan
How to determine two coterminal angles when above 360 degrees
π Learn how to determine co-terminal angles given one angle. 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....
Brian McLogan
Define Continuous and Discontinuous Functions
Define Continuous and Discontinuous Functions