Brian McLogan
Learn how to find the change in theta for a triangle, related rates
👉 Learn how to take the derivative of a function. 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...
Curated Video
Making a Straight Line with Right Triangles
In this video, the teacher explains why only some right triangle hypotenuses combine to make a straight line. They demonstrate that when the ratios of the sides of two right triangles are equal, they can be placed together to form a...
Curated Video
Apply the Area of Squares Proof to determine if a triangle is a right triangle
In this lesson you will learn how to determine if a triangle is a right triangle by applying the Area of Squares Proof.
Brian McLogan
Given a point find the six trigonometric functions of the angle
In this video series I show you how to evaluate the six trigonometric functions when given a point. We do this by creating a right triangle and finding the hypotenuse by using the Pythagorean theorem. #trigonometry...
Brian McLogan
Evaluating the difference of two angles for the cosine function
👉 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...
Brian McLogan
Tutorial for evaluating the six trig functions given a coordinate point
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
Given two triangles determine the difference of the two angles using cosine
👉 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...
Brian McLogan
Given a point find the six trigonometric functions
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
Evaluating the composition of Functions using Right Triangles
👉 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,...
Curated Video
Proving the Pythagorean Theorem Using Similarity
In this lesson, students will learn how to prove the Pythagorean theorem using similarity. By investigating and following a series of steps, they will discover that by cutting a right triangle and drawing altitudes, they can create...
Brian McLogan
Find the six trigonometric functions when given sine and a constraint on cosine
👉 Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the...
Brian McLogan
How to use the pythagorean theorem to find the missing length of a kite
👉 Learn how to solve problems with kites. A kite is a four-sided shape (quadrilateral) with two equal pairs of adjacent sides and the diagonals are perpendicular. Some of the properties of kites are: each pair of adjacent sides are...
Flipping Physics
(part 2 of 2) An Introductory Projectile Motion Problem with an Initial Horizontal Velocity
Now that we have dropped the ball into the bucket, we can determine the final velocity of the ball right before it strikes the bucket. Don't forget that velocity is a vector and has both magnitude and direction. Yep, component vector...
Brian McLogan
Tutorial for how to evaluate for the composition of two trigonometric functions
👉 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
Using a 45 45 90 triangle evaluate trig functions
👉 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
Using trigonometric functions to solve a word problem
👉 Learn how to solve word problems with triangles. A word problem is a real-life situation which can be modelled mathematically. Word problems involving angles of elevation and depression, straight object leaning against a vertical...
Brian McLogan
Given two triangles in the 2nd quadrant evaluate the sum of the angles
👉 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...
Brian McLogan
Find the measure of an angle using three side lengths of a triangles - math help
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exaclty how...
Brian McLogan
How do we determine the relationships of a 30 60 90 triangle
👉 Learn about the special right triangles. A special right triangle is a right triangle having angles of 30, 60, 90, or 45, 45, 90. Knowledge of the ratio of the length of sides of a special right triangle enables us to solve for any...
Brian McLogan
Set up your triangle three different ways to evaluate six trig functions
👉 Learn how to determine the quadrant given the constraint. The plane is divided into four equal parts called the quadrants with the region between the positive x-axis and the positive y-axis called the 1st quadrant having angles 0 to 90...
Brian McLogan
Learn the steps to evaluating the composition of inverse trig functions
👉 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 find height and understand the formula for area of an oblique triangle
👉 Learn how to find the area of a triangle. The area of a triangle is the measure of the region enclosed by the triangle. There are several methods that can be used to find the area of a triangle depending on the available information....
Brian McLogan
An introduction into the law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...