Instructional Video1:06
Brian McLogan

Converting a rectangular equation to polar form

12th - Higher Ed
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Instructional Video4:29
Brian McLogan

Given a lengths of a right triangle evalute the six trig properties

12th - Higher Ed
👉 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...
Instructional Video2:11
Brian McLogan

Evaluate the six trig functions when given an angle in radians

12th - Higher Ed
👉 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...
Instructional Video4:50
Brian McLogan

Solve trigonometric equation using identities and zero product property

12th - Higher Ed
👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Instructional Video3:00
Brian McLogan

Evaluate your six trig functions given cotangent

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Instructional Video6:21
Brian McLogan

Evaluate the six trig functions using a right triangle and secant of theta

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Instructional Video6:12
Brian McLogan

Learn the Easiest Way to Graph the Secant Function with a Change in the Period

12th - Higher Ed
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Instructional Video2:40
Brian McLogan

Evaluate for theta between 0 and 2pi

12th - Higher Ed
👉 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...
Instructional Video4:33
Brian McLogan

Sum and Difference identities of tangent using right triangles

12th - Higher Ed
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Instructional Video1:37
Brian McLogan

How to find x for a secant and a tangent line of a circle

12th - Higher Ed
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Instructional Video7:30
Brian McLogan

Graph the Secant Function with a Phase Shift of pi Halves

12th - Higher Ed
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Instructional Video2:46
Brian McLogan

How to use the product rule then chain rule with secant

12th - Higher Ed
👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Instructional Video2:49
Brian McLogan

Sketch the triangle and find the six trigonometric functions

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Instructional Video5:06
Brian McLogan

Tangent difference of two angles identities using triangles

12th - Higher Ed
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Instructional Video2:06
Brian McLogan

Taking the derivative with a square root and tangent

12th - Higher Ed
👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Instructional Video6:58
Brian McLogan

Verifying a trigonometric identity with multiple steps

12th - Higher Ed
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Instructional Video0:57
Brian McLogan

Write an expression as a single function using the sum and difference formulas

12th - Higher Ed
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Instructional Video1:09
Brian McLogan

Evaluate the identity using sum and difference formula

12th - Higher Ed
👉 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....
Instructional Video2:06
Brian McLogan

Evaluating the composition of Functions using Right Triangles

12th - Higher Ed
👉 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,...
Instructional Video4:38
Brian McLogan

Learn how to create a triangle and evaluate all six trig functions given cosecant

12th - Higher Ed
👉 Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Instructional Video6:15
Curated Video

Graphs of Trigonometric Functions

K - 5th
In this lesson, students will learn about the graphs of the four trigonometric functions (tangent, cotangent, secant, and cosecant) by relating them to the sine and cosine graphs. They will understand the patterns, zeros, and asymptotes...
Instructional Video5:55
Brian McLogan

Using multiple identities to simplify a trigonometric expression

12th - Higher Ed
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Instructional Video1:51
Brian McLogan

What is the relationship of lengths for two secant lines from a point outside of a circle

12th - Higher Ed
Learn how to solve problems with secant lines. A secant line is a line that intersects a circle at exactly 2 points in contrast to a tangent line which is a line that touches a circle at exactly one point. When two secant lines...
Instructional Video12:46
Brian McLogan

How to Simplify Pythagorean Identities | 18 Examples

12th - Higher Ed
In this video I will show you how simplify 18 expressions using only the Pythagorean identities. We will cover I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences...