Brian McLogan
Summary for solving a system of two linear equations by elimination
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Tutorial for how to evaluate for the composition of two trigonometric functions
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
How to find the vertex and axis of symmetry then graph using a table of values
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Characteristics of functions
π Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Given any point find your six trig functions
π Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Brian McLogan
How to set up your triangle when given a point to evaluate trig functions
π Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on...
Brian McLogan
How to understand reflections of polar points
How to understand reflections of polar points
Brian McLogan
Given a point learn how to evaluate the six trig functions with reference 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 reflect a line over the origin
π Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
How to apply a reflection over the x axis ex 1
π Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
Solve a trigonometric function with sine on both sides
π Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
Gaph the system of three linear inequalities and determine the feasible region ex 15
In this video series you will learn how to graph a system of linear inequalities. When graphing a system of linear inequalities you will graph just like a system of linear equations except you will use test points to shade.
Brian McLogan
Math tutorial for solving systems of equations using substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Given two points write them as a vector in component form
Learn how to write a vector in component form given two points and also how to determine the magnitude of a vector given in component form. Given two point vectors with one representing the initial point and the other representing the...
Brian McLogan
Evaluate the six trig functions when given an angle in radians
π Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
How to graph a polar point and then convert to rectangular form
How to graph a polar point and then convert to rectangular form
Brian McLogan
Learning how to reflect a polygon over the x=y line
π Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
How to write a vector in three different forms
How to write a vector in three different forms
Brian McLogan
Finding the angle between 2 vectors given vectors as linear combinations with angles
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Brian McLogan
Graph axis of symmetry vertex and max and min, domain and range
π Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
How to rotate a point counter clockwise 90 degrees
π Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also...
Brian McLogan
Use the midpoint formula to find the endpoint when given the midpoint ex 2
π In this playlist, you will learn what the distance and midpoint formulas are and how to apply them. The distance formula is derived from the Pythagorean theorem given the coordinates of two points. We will use the distance and midpoint...
Brian McLogan
What are the definitions of trigonometric functions of any angle
π Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Brian McLogan
How to graph a linear inequality
π Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...