Brian McLogan
Finding the solutions to a trigonometric equation
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
How to evaluate the inverse of trigonometric functions with unit circle
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Brian McLogan
What do I have to know to graph the sine and cosine function
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Learn to find the derivative of sine minus theta
👉 Learn how to find the derivative of trigonometric functions. 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
Learn how to use the chain rule with tangent
👉 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...
Brian McLogan
What are even and odd functions
👉 Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
KnowMo
Introduction to the Sine Rule in Trigonometry
The Sine This video is a lecture on the sine rule in trigonometry, focusing on how to use it to solve problems involving non-right-angled triangles. The video begins with an overview of trigonometry and the important ratios sine, cosine,...
Brian McLogan
Using trig properties and the angle of depression to solve a word problem
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Brian McLogan
Find Period, Amplitude and Translations of Trigonometric Graphs
👉 Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
Using the the half angle formula for sine to evaluate
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
How to determine the angle of elevation and angle of depression
👉 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 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
Learn to find the missing angles for a triangle using inverse trig functions
👉 Learn how to find a missing angle 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 gives us the relationship between the angles of a right...
Brian McLogan
Learn how to determine the angle of elevation and angle of depression
👉 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...
KnowMo
Introduction to the Cosine Function and Trigonometry Ratios
The video explains the basics of trigonometry, the three important ratios (sine, cosine, and tangent) used to calculate side lengths and angles in triangles, and the labeling of right angle triangles. It then focuses on the cosine...
Brian McLogan
Learning to evaluate the six trig functions given a equation and constraint
👉 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
Learn How to Write Find the Angle That Solve the Trigonometric Equation
👉 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
Evaluating the six trigonometric functions for a given angle on 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
Solve a trigonometric equation for all the real solutions with sine
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
What are the trigonometric definitions of a right triangle
👉 Learn all about the trigonometry of right triangles. 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 right...
Brian McLogan
Word Problems with trigonometry and triangles
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Brian McLogan
Write an expression as a single trigonometric function using sum and difference formula
👉 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
Using the sine function to find the missing length of the hypotenuse
👉 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...
KnowMo
The Cosine Rule: How to Calculate Sides and Angles in Triangles
This video provides an electric presentation on the cosine rule, which is a key concept in trigonometry used to calculate side lengths and angles in triangles. The presenter explains how to label triangles accurately and use two formulas...