Brian McLogan
Phase shifts of trigonometric functions
👉 Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To graph the parent graph of a trigonometric function, we first identify the...
Brian McLogan
Learn how to use period as an aide to evaluate sine for a negative angle
👉 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
How to find the arc length of a circle using the formula
👉 Learn how to solve problems with arc lengths. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. An arc of a circle is the curve between a pair of points on the circumference of the...
Brian McLogan
Evaluating for all six trig functions for a point 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
Evaluate cosine sum and difference formula
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
Using the additions of two angles and cosine
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
Using the law of cosines for a triangle with SAS
Learn how to solve for the lengths of the sides and the measures of the angles of a triangle using the law of cosines. The law of cosines is used in determining the lengths of the sides or the measures of the angles of a triangle when no...
Brian McLogan
Solving an equation with sine on both sides
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Use cofunction identities and trig identities to find the indicated trig functions
👉 Learn how to simplify basic trigonometric identities. To simplify basic trigonometric identities, it is usually more useful to convert all trigonometric functions to sine and cosine functions and then simplify. We will also explore the...
Brian McLogan
Multiply and the then simplify two trig functions
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Given an expression determine the function and angle
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
What are the law of sines and when will we apply them
👉 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
How to determine if you have 0,1 or 2 triangles for the ambiguous case
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Curated Video
The Complete Excel Guide: Beginners to Advanced - Goal Seek
The aim of this video is to explore goal seek. This clip is from the chapter "Excel 2019 Advanced: Data Analysis" of the series "The Complete Excel Guide: Beginners to Advanced".In this section, we'll explore data analysis.
Brian McLogan
Master Writing an expression as one single angle using double angle formulas
Master Writing an expression as one single angle using double angle formulas
Brian McLogan
Master Solving the ambiguous case for two triangles using law of sines SSA
Master Solving the ambiguous case for two triangles using law of sines SSA
Brian McLogan
Master How to determine the domain and range of the inverse trigonometric functions
Master How to determine the domain and range of the inverse trigonometric functions
Brian McLogan
Master Solving word problems using the law of sines and angle relationships
Master Solving word problems using the law of sines and angle relationships
Virtually Passed
Harmonic Force Excitation Steady State Amplitude and Phase Proof
Proof of the steady state amplitude and phase for a spring mass damper system with an harmonic load acting on it. Once you get good at it, you don't need to recreate another z equation like I've done. You can just solve as if sin(wt) =...
Brian McLogan
Summary for graphing 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
How to graph the inverse sine given the graph of sine
👉 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
Learn How to Graph the Cosecant Function with a Change in Period
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
Learn How to Easily Graph the Cosecant Function by Graphing Sine
👉 Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...