Brian McLogan
Determine the six trigonometric functions for a negative angle in radians
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Find the Given Angle Given its Coordinate on the Unit Circle
👉 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
Evaluating the composition of Functions using Right Triangles
👉 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
How to quickly write out the unit circle
👉 Learn about the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x-...
Weatherthings
Weather Things: Hurricane Structure
For their size and impact, hurricanes are often called the greatest storms on Earth. They expend a tremendous amount of energy through the water cycle, and through wind, to maintain the balance of the atmosphere. Known by different names...
Curated Video
Introduction to Writing Coordinate Pairs on the Coordinate Plane
In this video, students learn how to write coordinate pairs for points on a coordinate plane. The teacher explains the process of moving along the X and Y axes to determine the X and Y values of each point. The video also highlights...
Curated Video
Understanding Quadrants and Coordinate Planes
In this video, students learn about quadrants and how they relate to coordinate planes. The video explains how to determine the quadrant of a point by examining the values of an ordered pair. It also introduces the concept of UPS (Unique...
Brian McLogan
Set up your triangle three different ways to evaluate six trig functions
👉 Learn how to determine the quadrant given the constraint. The plane is divided into four equal parts called the quadrants with the region between the positive x-axis and the positive y-axis called the 1st quadrant having angles 0 to 90...
Brian McLogan
How to understand reflections of polar points
How to understand reflections of polar points
Brian McLogan
When given a point, how to find the triangle to evaluate for the 6 trig functions
👉 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
Using addition of two angles with triangles to evaluate for cosine
👉 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
Using the half angle formula for sine
👉 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...
Curated Video
High Performance Scientific Computing with C 1.6: Monte Carlo Methods
How can we use random numbers to solve problems? • Learn why randomness is useful • See how we can solve integrals with random numbers • See how the accuracy of Monte Carlo methods scales
Brian McLogan
Given an angle and constraint find the six trig functions of the angle
👉 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...
Brian McLogan
Given a point learn how to evaluate the six trig functions with reference angle
👉 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 sum and difference for Secant
👉 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
How to find the limits of a piecewise function by graphing first
👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and...
Brian McLogan
Evaluate your six trig functions when given cotangent and a constraint on cosine
👉 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...
Brian McLogan
Evaluating Inverse Trigonometric Functions
👉 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
Evaluate for Cosine Inverse Using the Unit Circle
👉 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
Solve a trigonometric function with sine on both sides
👉 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
Evaluate for sine cosine and tangent using reference angles
👉 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
Evaluating Inverse Trigonometric Functions
👉 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
How to graph a polar point and then convert to rectangular form
How to graph a polar point and then convert to rectangular form