Brian McLogan
Determining slope of zero from a graph positive
👉 Learn how to find the rate of change from graph. The rate of change is the rate at which y-values are changing with respect to the change in x-values. To determine the rate of change from a graph, a right triangle is drawn on the graph...
Brian McLogan
Evaluate the 6 trig functions using the unit circle
👉 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
Graphing a vertical line by creating a table of values
👉 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
Learn how to find the midpoint between two points, (4, 7) and (2, 1)
👉 Learn how to find the midpoint between two points. The midpoint between two points is the point halfway the line joining two given points in the coordinate plane. To find the midpoint between two points we add the x-coordinates of the...
Brian McLogan
Using coterminal angles to evaluate for the sine of an angle
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
Evaluate the arc cosine without a calculator
Evaluate the arc cosine without a calculator
Brian McLogan
Using difference of two angles with tangent to evaluate
👉 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
Solving trigonometric equations
👉 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
How to use sum and difference of two angles to verify an identity
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
Solving trigonometric equations
👉 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
Evaluating Inverse Trigonometric Functions
👉 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
Determining if Two Triangles are Congruent by Plotting Points
👉 Learn how to show whether two triangles are congruent from the coordinate (x-y) plane. Two or more triangles are said to be congruent if they have the same shape and size. To show whether two triangles whose points on the coordinate...
Brian McLogan
Find the distance between two coordinate points ex1
👉 Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
Brian McLogan
4d Example 1 (Evaluate Trig Functions using intercepts of the unit circle)
4d Example 1 (Evaluate Trig Functions using intercepts of the unit circle)
Brian McLogan
Watch me complete the unit circle
👉 Learn about 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 intersects the x-...
Brian McLogan
Master writing the vector given the direction and magnitude
Master writing the vector given the direction and magnitude
Brian McLogan
What does a logarithmic graph look like
👉 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
How to evaluate sum of two angles using the sum formula for sine
👉 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
Finding the inverse of a rational function
👉 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
How to find the exact value using the difference formula of two angles for tangent
👉 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
"When" Is the graph increasing decreasing constant?
👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function....
Brian McLogan
Evaluate the composition of inverse trig function with a negative value
👉 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
Master determining the center,vertices, foci and aymptotes of a hyperbola center not at origin
Master determining the center,vertices, foci and aymptotes of a hyperbola center not at origin