Instructional Video2:27
Brian McLogan

How to use the pythagorean identities to simplify a trigonometric expression

12th - Higher Ed
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Instructional Video3:12
Brian McLogan

How to solve a trigonometric equation using sum and difference identities

12th - Higher Ed
👉 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....
Instructional Video2:40
Brian McLogan

How to simplify a trig expression

12th - Higher Ed
👉 Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Instructional Video1:59
Brian McLogan

Half angle of tangent given an angle in radians

12th - Higher Ed
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Instructional Video2:14
Brian McLogan

Given a Triangle Evaluate the Double Angle

12th - Higher Ed
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Instructional Video1:25
Brian McLogan

Given a triangle evaluate the double angle

12th - Higher Ed
👉 Learn how to evaluate the double angle of sine. The value of the sine of double a given angle can be obtained given the value of the sine of the angle. The value of the sine of double a given angle is obtained using the formula sin(2u)...
Instructional Video5:01
Brian McLogan

Solving a trigonometric equation with secant

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 Video5:40
Brian McLogan

Solving a trigonometric equation with applying pythagorean identity

12th - Higher Ed
👉 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...
Instructional Video4:33
Brian McLogan

Solving a trigonometric equation using the zero product property

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 Video5:58
Brian McLogan

How to solve an 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 Video1:32
Brian McLogan

Exam Review Evaluate the cosine inverse

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...
Instructional Video2:05
Brian McLogan

Find the missing length of a triangle using trig functions without a calculator

12th - Higher Ed
Find the missing length of a triangle using trig functions without a calculator
Instructional Video1:12
Brian McLogan

How to simplify a trigonometric expression using even/odd identities

12th - Higher Ed
In this video series I will show you how to simplify trigonometric expressions. We will simplify these expression to either a single trigonometric term or number. To simplify we will use trigonometric identities such as Pythagorean,...
Instructional Video7:11
Brian McLogan

How does the period affect the sine and cosine graph

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 Video7:42
Brian McLogan

How do we create the graph of the tangent function

12th - Higher Ed
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Instructional Video5:53
Brian McLogan

Graphing the Sine Graph

12th - Higher Ed
👉 Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Instructional Video3:27
Brian McLogan

What are bearings and how do we use them

12th - Higher Ed
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to...
Instructional Video2:26
Brian McLogan

Evaluate the cosine of inverse tangent - free online tutoring

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 Video3:41
Brian McLogan

Write a polar equation in rectangular form and identify the center and radius

12th - Higher Ed
Write a polar equation in rectangular form and identify the center and radius
Instructional Video4:25
Brian McLogan

Solve Trig Equation Sum and Difference Formula

12th - Higher Ed
Solve Trig Equation Sum and Difference Formula
Instructional Video4:09
Brian McLogan

Why do we add intervals of 2pi to our solution

12th - Higher Ed
👉 Learn about the angles 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 Video3:34
Brian McLogan

Evaluate the composition of inverse trig function with a negative value

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 Video1:15
Brian McLogan

Verify Identities Double Angle

12th - Higher Ed
Verify Identities Double Angle
Instructional Video3:23
Brian McLogan

Find if the vectors are Parallel, Orthogonal or Neither

12th - Higher Ed
Find if the vectors are Parallel, Orthogonal or Neither