Instructional Video7:45
Brian McLogan

Pre-Calculus - Using Double Angle Formulas to Help Solve for Solutions to an Equation

12th - Higher Ed
👉 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...
Instructional Video4:42
Brian McLogan

Evaluate the difference for two angles for sine from a triangle

12th - Higher Ed
Learn how to evaluate the sine of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Instructional Video5:40
Brian McLogan

Given a point find the six trigonometric functions of the angle

12th - Higher Ed
👉 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...
Instructional Video3:59
Brian McLogan

Evaluating the composition of inverse functions using triangles

12th - Higher Ed
👉 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,...
Instructional Video4:40
Brian McLogan

Evaluate your six trigonometric functions when given a point not on the unit circle

12th - Higher Ed
In this video series I show you how to evaluate your trigonometric functions for any angle. When we have a point that is not on the unit circle we create a triangle to help us evaluate our trig functions and then create a right triangle...
Instructional Video11:18
Brian McLogan

The intro to the trig functions for points on the unit circle

12th - Higher Ed
👉 Learn about the points on 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...
Instructional Video4:26
Brian McLogan

Important parts of a trigonometric function

12th - Higher Ed
👉 Learn the basics of graphing trigonometric functions. The graphs of trigonometric functions are cyclical graphs which repeats itself for every period. To graph the parent graph of a trigonometric function, we first identify the...
Instructional Video6:23
Brian McLogan

Learn how to evaluate for an angle by sketching the angle and using reference angles

12th - Higher Ed
👉 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...
Instructional Video3:22
Brian McLogan

What is the trigonometric graph of cosine

12th - Higher Ed
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Instructional Video2:56
Brian McLogan

Learn how to use period as an aide to evaluate sine for a negative angle

12th - Higher Ed
👉 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...
Instructional Video2:13
Brian McLogan

How to find the arc length of a circle using the formula

12th - Higher Ed
👉 Learn how to solve problems with arc lengths. You will learn how to find the arc length of a sector, the angle of a sector, or the radius of a circle. An arc of a circle is the curve between a pair of points on the circumference of the...
Instructional Video9:01
Brian McLogan

Evaluating for all six trig functions for a point on the unit circle

12th - Higher Ed
👉 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...
Instructional Video1:19
Brian McLogan

Find the coordinate point of the given angle

12th - Higher Ed
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
Instructional Video7:04
Brian McLogan

Evaluate cosine sum and difference formula

12th - Higher Ed
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Instructional Video7:52
Brian McLogan

Solving for cosine by factoring

12th - Higher Ed
👉 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...
Instructional Video3:59
Brian McLogan

Using the additions of two angles and cosine

12th - Higher Ed
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Instructional Video4:57
Brian McLogan

Solving an equation with sine on both sides

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video4:30
Brian McLogan

Evaluate the sum of two angles using the tangent formula, tan

12th - Higher Ed
👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Instructional Video4:22
Brian McLogan

Solving trigonometric equations with multiple angles

12th - Higher Ed
👉 Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Instructional Video3:36
Brian McLogan

Learn how to solve a trigonometric equation with cosine

12th - Higher Ed
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Instructional Video55:32
Brian McLogan

Pre-Calculus Lesson: LAW OF COSINES | Applications of Trigonometry

12th - Higher Ed
In this lesson I will show you how to apply the law of cosines to find the missing measures of a triangle when given SSS and SAS. We will also take a look at Heron's formula and word problems with bearings.
Instructional Video8:25
Brian McLogan

Master Writing an expression as one single angle using double angle formulas

12th - Higher Ed
Master Writing an expression as one single angle using double angle formulas
Instructional Video6:05
Brian McLogan

Why we avoid the law of sines over the law of cosines with ambiguous triangles

12th - Higher Ed
Why we avoid the law of sines over the law of cosines with ambiguous triangles
Instructional Video2:48
Brian McLogan

Find the angle given inverse secant

12th - Higher Ed
👉 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...