Brian McLogan
How can we describe our solutions to a system of equations
👉Learn 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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 🐍 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
👉 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
Brian McLogan
Given summation notation, learn how to find the sum of a finite series
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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
👉 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...