Brian McLogan
Determine the domain and range for the square root function
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Evaluate sine using the sum and difference formula
👉 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...
Brian McLogan
Evaluate the square root of a perfect square rational number ex 8, root(64/196)
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Learn step by step how to solve a system of equations by substitution
👉Learn 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
Evaluating the partial sum of a 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
Finding the sum or an arithmetic series using summation notation
👉 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...
Curated Video
Creating New Functions by Adding and Subtracting
This lesson helps students understand the versatility of functions and how they can be manipulated to create new mathematical relationships. Understand the concept of a function in which each input has one output, and explore the domain...
Brian McLogan
Evaluating a piecewise function for a value
👉 Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Brian McLogan
Review how to evaluate our trig functions when given an angle
Learn how to solve trigonometric function problems using the unit circle. The trigonometric functions of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use...
Brian McLogan
Evaluate the six trigonometric functions for the given real number
👉 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
Evaluate the six trigonometric functions for the given real number
👉 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 evaluate the difference of two angles for sine
👉 Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...
Brian McLogan
Use cofunction identities and trig identities to find the indicated trig functions
👉 Learn how to simplify basic trigonometric identities. To simplify basic trigonometric identities, it is usually more useful to convert all trigonometric functions to sine and cosine functions and then simplify. We will also explore the...
Brian McLogan
Given Sine, evaluate the half angle of cosine
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Learn how to evaluate the integral of a constant
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
How to use the area of a rectangle to represent the integral
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Evaluate the integral with trig u substitution
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Learn how to evaluate the limits of a graph with asymptotes
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Brian McLogan
Learn how to evaluate a quadratic function for two given values
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Brian McLogan
Graphing a quadratic function in standard form
👉 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...
Healthcare Triage
Which Health Policies Actually Work?
We spend a lot of money on healthcare. How much if goes toward good studies of the health policies we implement. Not much. An almost natural experiment in Oregon has been revealing.
Brian McLogan
Master Evaluating a Logarithmic Expression using the Properties of Logarithms
Welcome, ladies and gentlemen. So what I'd like to do is show you how to evaluate some logarithmic expressions when we're just kind of using the properties of logarithms. And what I did here is-- actually, let me step out of the camera...
Brian McLogan
Evaluate an expression with one variable ex 1, x + 5; x = 3
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Finding the value of x using supplementary angles - Free Math Videos
👉 Learn how to find the value of an unknown variable in the expressions representing the values of angles given the relationship between the angles. When given expressions representing the values of angles and the relationship between...