Brian McLogan
Determine the values a function is undefined and write the domain
👉 Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Brian McLogan
How to use the half angle formula for tangent tan75
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Graph an ellipse by first completing the square
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
What you need to know | Functions
In this video I walk through some of the basic problems that you will want to know and remember BEFORE entering pre-calculus. "Most" pre-calculus classes start with a chapter or section on functions and while this video does not cover...
Brian McLogan
Determining If a Polynomial Function is Even or Odd
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
What are bounded functions and how do you determine the boundness
👉 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
Using the the half angle formula for sine to evaluate
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
How to find the scalar that makes a unit vector
How to find the scalar that makes a unit vector
Brian McLogan
Pre-Calculus - How to Evaluate Using the Double Angle Formula for Cosine
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Algebra 2 - Find the Double Angle of Tangent To a Triangle, Sin v = 4/5
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Evaluate a point of the unit circle for sine, cosine and tangent
👉 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
Pre-Calculus - Evaluating for the Double Angle of Sine with a Triangle
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Brian McLogan
Finding the vertical, horizontal and slant asymptotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Learn to find the values the function is undefined, then write domain
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
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
Learn how to eliminate the parameter given sine and cosine of t
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
Master solving word problems using inverse trigonometry
Master solving word problems using inverse trigonometry
Brian McLogan
BEST explanation how to determine domain algebraically
👉 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
ACT SAT Prep How do the graphs of two trigonometric graphs compare
ACT SAT Prep How do the graphs of two trigonometric graphs compare
Brian McLogan
Master solving a system of equations by elimination with no solution and infinite many
Master solving a system of equations by elimination with no solution and infinite many
Brian McLogan
What you Need to Know about Functions for Pre-Calculus
What you Need to Know about Functions for Pre-Calculus
Brian McLogan
How to Algebraically Show That a Function is Even
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Brian McLogan
Boundness of a function from a graph
👉 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...