Curated Video
Modeling Periodic Phenomena with Trigonometric Functions
In this video, the teacher explains how to model periodic phenomena using trigonometric functions. They review the general forms of sine and cosine equations and discuss the various transformations that can be applied to these functions.
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
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 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
Use limit laws and special trig limits to evaluate
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
Implicit differentiation using the chain and product rule with cosine
👉 Learn how to find the derivative of an implicit function. 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 of a...
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
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
How to set up your triangle when given a point to evaluate trig functions
👉 Learn how to evaluate the six trigonometric functions given a point. When given a point, there are many ways to evaluate the trigonometric functions of the point. The methods include: using the unit circle if the point is a point on...
Brian McLogan
Learn how to use sum and difference formulas to write as one trigonometric expression
👉 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...
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...
Brian McLogan
When given a point, how to find the triangle to evaluate for the 6 trig 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
Given an angle and constraint find the six trig functions of the angle
👉 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
Given a point learn how to evaluate the six trig functions with reference angle
👉 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 six trigonometric functions given a right triangle
👉 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
Product rule with cosine and a monomial derivative
👉 Learn how to find the derivative of a function using the product 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...
Brian McLogan
Evaluate your six trig functions when given cotangent 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
Sketch a triangle given a trig angle then determine remaining trig functions of angle
👉 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...
Brian McLogan
Using trig limits to evaluate the limit
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
Sketch a triangle given a trig angle then determine remaining trig functions of angle
👉 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...
Brian McLogan
Evaluate the six trig functions when given an angle in radians
👉 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
How to solve the missing length of a triangle using tangent
👉 Learn how to find a missing side length of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a...
Brian McLogan
Evaluate the six trig functions using a right triangle and secant of theta
👉 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...