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Brian McLogan
How to find the intersection of a system of equations by graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
How to determine the domain and range from a function 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
Learning to Find the Angle Given the Inverse Sine of a Value
π 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
How to create a right triangle to compose trig functions
π 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 the composition of inverse trig function with a negative value
π 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 how to graph a linear equation using slope intercept form
Master how to graph a linear equation using slope intercept form
Brian McLogan
Learn how to find sketch the graph of an exponential functions
π Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Determine the endpoint given one endpoint and midpoint algebraically
π In this playlist, you will learn what the distance and midpoint formulas are and how to apply them. The distance formula is derived from the Pythagorean theorem given the coordinates of two points. We will use the distance and midpoint...
Brian McLogan
Solving an equation with cosine of a multiple angle
π 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
Math tutorial for evaluating the composition of the sine and tangent function
π 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
Evalute your trig functions of a triangle
π Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Brian McLogan
How to evaluate a function for a point on a graph
π 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 inverse trig function within a composition
π 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
How to use period as an aide to evaluate for the tangent function of an angle
π 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 using reference angles
π 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 for sine cosine and tangent using reference angles
π Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies...
Brian McLogan
Evaluate for a point using your six trig functions
π 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
Zeros, Intercepts, multiplicity, end behavior of a binomial raised to a power
Zeros, Intercepts, multiplicity, end behavior of a binomial raised to a power
Brian McLogan
Master Solving for all of the solutions for trigonometric equations using inverse operations
Master Solving for all of the solutions for trigonometric equations using inverse operations
Brian McLogan
Master Learn how to find the direction of a vector
Master Learn how to find the direction of a vector
Brian McLogan
How to rotate a triangle counter clockwise 180 degrees
π Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also...
Brian McLogan
Find the coordinate point of the given angle
π Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
Brian McLogan
Evaluating for cosine using coterminal angles
π 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...