Brian McLogan
Given summation notation, learn how to find the sum of a finite 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
Learn how to fill in the table of values for a quadratic function
π Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
Why do we add intervals of pi to our solution
π Learn about the angles on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
What is the domain of sine and cosine graph
π Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
How to solve a trigonometric equation by factoring
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
Find all the solutions of a trig equation by looking at the graph and unit circle
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...
Brian McLogan
Determine the domain and range from a graph
Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...
Brian McLogan
Solving an equation with variables on both sides no 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
Solving an equation with infinite many solutions 2a+3=3+2a
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
Learn how to find multiple solutions to a trigonometric equation
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
How to solve a trigonometric equation when it is already solved cos
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...
Brian McLogan
Determining the sum of a geometric sum when there is no sum
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
Learn how to evaluate the partial sum of a 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
How to solve a system by graphing lines
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
Learning how to evaluate the partial sum of a 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
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
Solving a trigonometric equation by isolating sine
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...
Brian McLogan
How to determine the domain and range from a function graph
Learn how to determine the domain and range of a function given the graph of the function. Since the domain of a function is the set of all x-values we will want to identify how far left the graph goes as well as how far right to...
Brian McLogan
Algebra 1 - Learn how to graph the solution to an inequality
In this video you will learn how to solve and graph inequalities. When solving inequalities you will use the same inverse operations as solving equations. The difference will be when you multiply or divide by negative numbers you switch...
Brian McLogan
What Does the Inverse Graph of Sine Look Like
π Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Why do we add intervals of 2pi to our solution
π Learn about the angles on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
Evaluating the partial sum of a 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
Solving a system of three equations with infinite many solutions
πLearn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of...