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Brian McLogan
How to determine if points are a rhombus, square or rectangle
π Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Brian McLogan
What are the points on a unit circle by 45 degrees
π Learn about the points 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...
Curated Video
Understanding the Domain of Trigonometric Functions: Examining Denominators of Trig Ratios
In this video, students will learn about the domain of the six trigonometric functions by examining the denominators of the trig ratios. They will understand the reciprocal pairs of the trig functions and how they can be rewritten in...
Professor Dave Explains
Carbenes Part 1: Properties and Formation
We've learned about a variety of different unstable carbon species, like carbocations, carbanions, and carbon radicals. But there is one more to know, carbenes. These are carbon atoms with two bonds and two nonbonding electrons. They...
Brian McLogan
Solving a linear system of two equations by graphing
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
Graph a parabola using conic sections with a horizontal axis of symmetry
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Pre-Calculus - How to solve using the addition formula of two angles for cosine cos(160)
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
Writing a vector in component form given a magnitude and direction
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Brian McLogan
Converting a point from polar to rectangular
Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...
Brian McLogan
Graphing a system of inequalities when one inequality is a vertical boundary line
π Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
Graphing a quadratic function in standard form
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
Graphing a horizontal linear equation from a table
π Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...
Curated Video
Enlargements in Graph Transformations
The video is a lecture presentation on the topic of transformations of graphs, with a focus on enlargements. The presenter explains the concept of multiplying a function by a constant or the X variable, which results in a stretch or...
Brian McLogan
How to evaluate the difference of two angles for tangent, tan
π Learn how to evaluate the tangent of an angle in degrees 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
Finding the solutions to a trigonometric equation
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
How to reflect a point over the y axis
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
The best explanation of domain and range with multiple examples
π Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Learn to represent relations by mapping ordered pairs, table and graphing
π Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Graph a linear equation in slope intercept form
π Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...
Brian McLogan
Graphing a horizontal linear equation using a table of values, y = 5
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
Determine points on a unit circle using special triangles
π Learn about the points 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
How to evaluate the inverse of trigonometric functions with unit circle
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
Determining the sine of the sum of two angles
π Learn how to evaluate the sine 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...
Curated Video
Solving Equations in Two Variables: Tables and Graphs
In this video, the teacher explains how to solve equations in two variables by making a table and graphing the solutions. They use examples of linear equations and quadratic equations to demonstrate the process.