Brian McLogan
What are the definitions of trigonometric functions of any angle
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Brian McLogan
Evaluate for theta between 0 and 2pi
👉 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
Sum and Difference identities of tangent using right triangles
👉 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 how to solve a trigonometric equation using sum and difference formulas
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
How to determine the half angle of tangent when given a triangle
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...
Brian McLogan
Solving a trigonometric equation on the interval of 0 and 2pi
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Learn how to determine the angle between the two vectors
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Use the quotient rule of derivatives given a table
👉 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
Graph the Secant Function with a Phase Shift of pi Halves
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Learn how to solve equation using double angle formula
👉 Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
How to use the chain rule with trigonometric functions
👉 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...
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
👉 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 topic. Content Times:...
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 into the system.
TMW Media
Kinetic Energy And The Work - Energy Theorem: Solving a final problem
Given certain parameters, how would you solve this problem?
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
👉 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
👉 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
👉 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...