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ATHS Engineering
Introduction to Trigonometry for Calculating Forces in Trusses
This video teaches basic trigonometry concepts needed to calculate forces in trusses, using the mnemonic "SOHCAHTOA" to remember the sine, cosine, and tangent equations. The video provides examples of how to use these equations to...
Brian McLogan
Evaluating the difference of two angles for the tangent function
š 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...
Flipping Physics
Physical Pendulum - Period Derivation and Demonstration using Calculus
Calculus is used to derive the angular frequency and period equations for a physical pendulum. A physical pendulum is also demonstrated and real world calculations are performed. This is an AP Physics C: Mechanics...
Virtually Passed
Energy analysis of forced spring mass damper system
Here I derive expressions for the energy added per cycle due to both the harmonic excitation force and the damper. The work done by the spring per cycle = 0.
An alternative way to approach this is to find the average power...
An alternative way to approach this is to find the average power...
TMW Media
Kinetic Energy And The Work - Energy Theorem: Solving a final problem
Given certain parameters, how would you solve this problem?<br/>
Kinetic Energy And The Work - Energy Theorem, Part 6
Kinetic Energy And The Work - Energy Theorem, Part 6
Curated Video
Understanding Cosine Values in Right Triangles
This video explains how to find the cosine value of an acute angle in a right triangle. It demonstrates how the ratios of the adjacent leg to the hypotenuse determine the cosine value of a specific angle. The video also highlights that...
FuseSchool
Other Graphs - Sin Cos Tan Exponential
You should already know what a straight line, quadratic, cubic and reciprocal look like when plotted on a graph. In this video we will discover what the sin, cos and tan graphs look like and also exponential functions. You don't...
Brian McLogan
Sketch the triangle and find the six trigonometric functions
š 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 inverse trig with composition
š 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
Tangent difference of two angles identities using triangles
š 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
Learn step by step to convert from rectangular form to polar form
Learn step by step to convert from rectangular form to polar form
Brian McLogan
Determine the angle between the two vectors
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Flipping Physics
Work as the Dot Product
Work as the dot product is defined. The dot product using unit vectors is reviewed. Several examples are worked through. Want Lecture Notes?f='http://www.flippingphysics.com/work-d...' target='_blank' rel='nofollow'>Notes?ā This is...
Brian McLogan
Verifying a trigonometric identity with multiple steps
š 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...
Brian McLogan
Understand the relationships between rectangular and polar coordinates
Understand the relationships between rectangular and polar coordinates
Brian McLogan
Given the magnitude and angle how do you find the dot product of two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Brian McLogan
Learn how to write the vector in component form given the magnitude and direction
Learn how to write a vector in component form when given the magnitude and direction. When given the magnitude (r) and the direction (theta) of a vector, the component form of the vector is given by r(cos(theta), sin(theta)).
Brian McLogan
How to convert a polar point into rectangular coordinate
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Brian McLogan
Learn how to take the derivative with charts using quotient rule
š Learn how to find derivative using a given table of values. 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 write the equation of the tangent line using trigonometry
š Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Virtually Passed
polar equation of motion
Here I derive the most generic equations of motion (position, velocity & acceleration) for a continuous curve. The calculus is pretty involved so I definitely recommend you hit up your math textbook first!
Brian McLogan
Write an expression as a single function using the sum and difference formulas
š 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
How to determine the function and angle given an expression
š Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...