👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....

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)).

Write the equation of a line in polar form

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...

👉 Learn how to find the derivative of exponential and logarithmic expressions. 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...

👉 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...

Calculus is used to derive the simple harmonic motion equations for a mass-spring system. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. This is an AP Physics...

In the previous tutorial we solved the Schrödinger equation for a quantum particle in an infinite square well. This is also known as the problem of the particle in a box. But there is a lot to unpack regarding the results, enough to...

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....

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...

👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....

👉 Learn how to find the derivative of a function using the product 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...

In this video, we learn how to find the tangent value of an acute angle in a right triangle by using the ratios of the triangle's sides. The tangent value is found by dividing the length of the opposite leg by the length of the adjacent...

Given certain parameters, how would you solve this problem?<br/>
Physics Work, Part 3

Plot a polar point with a negative radius

mechanical energy problem 4 Part 1

Find the missing measures, law of cosines then law of sines

👉 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...

👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...

👉 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...

Write the equation of a circle in polar form

i) 2.56m/s<br/>
ii)0.0989m

Master Verifying a trigonometric identity

👉 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...