This video goes over the dot product also known as the scalar product. This video ends the dot product series by going over 3 proofs specifically the Cauchy-Schwarz Inequality, Triangle Inequality and the Parallelogram Law.

The SymPy package computes symbolic solutions to simplify, expand, factor, differentiate, integrate, and solve equations. These problems cover a range of SymPy functions.

Here I describe the main formulas used for harmonic excitation.


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br/>#SoME1

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TIME
STAMPS
0:00 - Introdu
ction
0:27 - Experiment Resul
ts
0:51 - Forced Vi
bration SMD...

This video explains the proper signs of trigonometric functions by determining the signs of x and y in all four quadrants. It also introduces the concept of reciprocal trig functions and emphasizes the importance of understanding the...

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...

Circular Motion proof

This video goes over the dot product also known as the scalar product. This video covers direction angles and direction cosines. 3 examples are also covered illustrating how to solve problems involving direction angles and direction...

Given certain parameters, how would you solve this problem?<br/>
Scalers and Vectors, Part 4

Two blocks oscillating via springs is a 2 DOF system. The final solution will have the form of a



a modal vector times cos(w1t - phi1) + another modal vector times cos(w

2t -phi2).

The system is hence said to be...

This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 1 basic example illustrating the case...

👉 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...

The video provides a clear explanation of the sine, cosine, and tangent functions and their corresponding graphs. It starts by introducing the unit circle and how it relates to the functions. Then, it explains the formulas for each of...

A “live” demonstration of of collecting position, velocity, and acceleration of a vertical mass-spring system.

👉 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...

👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...

👉 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...

What is the magnitude of the acceleration of a ball traveling around a circular path if it's constrained to have a constant vertical velocity? Always start these problems by doing a velocity analysis, then finish it by doing an...

Electric Field Due to a Ring of Charge

In this video, the teacher explains how to use the cosine ratio to find the length of a ladder needed to climb to a roof at a specific angle. By comparing the ratios of the side adjacent to the angle and the hypotenuse in a right...

👉 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...

👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the...

👉 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...

I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. I believe everyone can learn math...

This video covers conservation of momentum in both normal and tangential directions when two spheres collide. It's important to note that conservation of momentum in the tangential direction holds for each ball since the force acting on...