Brian McLogan
Solving an equations using the sum and difference formulas of cosine
π 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 use magnitude and direction from a word problem to write the vector
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
Determine the dot product between 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...
TMW Media
Momentum And Impulse: Solving a problem
Given certain parameters, how would you solve this problem? Momentum And Impulse, Part 3
Curated Video
Understanding the Cosecant Ratio in Right Triangles
In this video, the teacher explains how to find the length of a rope needed to pitch a tent using the cosecant ratio in right triangles. The teacher demonstrates the use of the sine ratio and then introduces the cosecant ratio as the...
Brian McLogan
Simplifying an expression using the difference of two angles with sine
π 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...
Curated Video
Graphing Sinusoidal Functions: Observing the Unit Circle and Plotting Points
In this video, students will learn how to graph sinusoidal functions by plotting points and observing the terminal ray of the unit circle. They will understand the patterns and periodicity of the sine and cosine functions, and how to...
Curated Video
Using a Unit Circle to Find Trigonometric Function Values
Learn how to use a unit circle to study angles and find the values of sine, cosine, and tangent functions. The teacher reviews the ratios of sides in special triangles and emphasizes the importance of drawing the reference triangle...
Math Fortress
Calculus II: Trigonometric Integrals (Level 4 of 7)
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 2 basic example illustrating the case...
Brian McLogan
Given a point learn how to evaluate the six trig functions with reference angle
π 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...
Brian McLogan
Evaluating the six trigonometric functions given a right triangle
π Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Brian McLogan
Simplifying a trigonometric expression using half angle formula
π Learn how to write the trigonometric function given the expression. We will focus on the expression for the half-angle of sine, cosine and tangent. When given the expression we will need to determine which function's identity is equal...
Brian McLogan
Evaluating the sum and difference for Secant
π 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
Evaluate the limit using sine and cosine special limits
π 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....
Brian McLogan
Product rule with cosine and a monomial derivative
π 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...
TMW Media
Projectile Motion: Solving another problem
Given certain parameters, how would you solve this other problem? Projectile Motion, Part 5
Brian McLogan
Learning how to solve an equation using the sum and difference formulas for sine
π 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
Solve a trigonometric function with sine on both sides
π Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
How to write an equation from polar form to rectangular form
Learn how to convert between rectangular and polar equations. A rectangular equation is an equation having the variables x and y which can be graphed in the rectangular cartesian plane. A polar equation is an equation defining an...
Physics Girl
Trig Review for Physics - Common Math Tools - Physics 101, AP Physics 1 Review with Physics Girl
Exercises in this video: Problem 1: 1. You are running north-east at a speed of 4 m/s. What component of your velocity is north? How about east? Problem 2: You are kite-surfing and your kite is pulling you upwards at an angle of 60ΒΊ with...
Brian McLogan
Sketch a triangle given a trig angle then determine remaining trig functions of angle
π 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 for sine cosine and tangent using reference angles
π 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
Pre-Calculus - Find All of the Solutions of an Equation Using the Double Angle Formulas
π 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
Solve a word problem using vectors, airplane and wind
Solve a word problem using vectors, airplane and wind