Brian McLogan
Find the Inverse Function with Restrictions
Find the Inverse Function with Restrictions
Brian McLogan
Solving a proportion for a variable
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
What are inverse operations and how do we use them to solve two step equations
👉 Learn how to solve two step linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. To solve for a variable in a two step linear equation, we first isolate the variable by using inverse...
Brian McLogan
Writing the inverse of another function as an inverse function
👉 Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Curated Video
Finding the Additive Inverse of a Number Using Equations
In this lesson, students will learn how to find the additive inverse of a number without using a number line. Through the use of equations, they will understand how to rewrite expressions and equations to find the inverse.
Brian McLogan
Learning to write the inverse of a conditional statement
👉 Learn how to find the inverse of a statement. The inverse of a statement is the negation of the hypothesis and the conclusion of a conditional statement. If the hypothesis of a statement is represented by p and the conclusion is...
Brian McLogan
Find the angle of depression using trigonometry
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Curated Video
Using Properties to Solve Equations
In this video, the teacher explains how to use properties of equality to solve linear equations in one variable. The viewer will learn how to justify each step using the properties of equality and how to check their solutions. The lesson...
Brian McLogan
Where does logarithmic equations come from
👉 Learn all about logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a number is...
Brian McLogan
How do we apply inverses to trigonometric functions
👉 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
How to evaluate the inverse of cosine with a calculator
👉 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
Learn how to solve using the law of cosines
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no...
Brian McLogan
Determine 1, 2, or no triangles law of sines
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Brian McLogan
Where do logarithmic graphs come from
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
What is the inverse of a function and how do you find it
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Showing how to find the inverse of an exponential to find the log, y = 2^x
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
What does the graph of a function and it's inverse have in common?
What does the graph of a function and it's inverse have in common?
Brian McLogan
Solve word problem with angle of elevation and trigonometry
👉 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,...
Curated Video
Solving Simple Equations (Using Inverse Operations)
This video lesson will review vocabulary and properties necessary for solving one-step equations. Students will solve equations using addition, subtraction, multiplication or division. Practice problems have been provided where you can...
Curated Video
Introduction to Vectors, Magnitude, and Direction
The video is a presentation on the introduction to vectors. The presenter explains the concept of vector quantities, which have both magnitude and direction. They discuss the notation of vectors, including column vectors and position...
Brian McLogan
How to evaluate the composition of inverse functions
👉 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
Evaluate inverse of cosecant using a calculator
👉 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
Evaluate for Theta Between 0 and 2pi, Secθ = -1
👉 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
Evaluate the cosecant function with a calculator
👉 Learn how to evaluate trigonometric functions using a calculator. To evaluate the trigonometric functions using a calculator, we just punch the necessary buttons on the calculator to obtain the result. While this may seem simple, most...