Brian McLogan
Simplify by combining two rational trigonometric expressions
👉 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...
Brian McLogan
Multiply and verify the trigonometric identity
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Learn how to verify a trigonometric identity by distributive property
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
How to verify an identity by combining terms
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Brian McLogan
How to evaluate the half angle of cosine when given a triangle
👉 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...
Brian McLogan
How to apply cofunction and even odd identities to divide two trig functions
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
How to evaluate sum of two angles using the sum formula for sine
👉 Learn how to evaluate the sine 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...
Brian McLogan
Evaluate the double angle for cosine using a triangle
👉 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)...
Brian McLogan
Graphing the Sine Curve with a Period Shift
👉 Learn how to graph a cosine function. To graph a cosine 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...
Brian McLogan
How to create a triangle to evaluate the inverse trig function with x
How to create a triangle to evaluate the inverse trig function with x
Brian McLogan
Master Evaluating the double angle for Sine, Cosine and Tangent, given an angle and constraint ex 3
Master Evaluating the double angle for Sine, Cosine and Tangent, given an angle and constraint ex 3
Brian McLogan
Simplify 20 Basic Trigonometric Identities | Analytic Trigonometry | Skills Practice Worksheet
Simplify 20 Basic Trigonometric Identities | Analytic Trigonometry | Skills Practice Worksheet
Brian McLogan
Pre-Calculus - Simplify expressions using fundamental identities, sin(pi/2 - x)/cos(pi/2 - x)
In this video series I show you how to simplify trigonometric expressions by using identities. Trigonometric identities help us transform expressions so that we can simplify an expression to a singular term. We will apply reciprocal,...
Brian McLogan
Write the sum and difference formula as a single trigonometric function
👉 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...
Brian McLogan
Take the derivative of a trigonometric function
👉 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...
Professor Dave Explains
Polar Coordinates and Graphing Polar Equations
An introduction to polar coordinates and how to graph polar equations.
Curated Video
C++ Standard Template Library in Practice - Modules
The user wants to know how modules are going to work when C++20 is released. • Introduce the new material • Show examples of how it might be used in practice • Show an example to reinforce the topics covered This clip is from the chapter...
Brian McLogan
Math tutorial for converting an angle from radians to degrees
👉 Learn how to convert angles from radians to degrees. Recall that pi radians is equivalent to 180 degrees. Thus, when given an angle in radians, to convert the angle to degrees we multiply the given angle radians by the ratio 180/pi.
Brian McLogan
Learn How to Find the Amplitude Period and Frequency of Sine
👉 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...
Brian McLogan
Graphing the Cosine Function with a Change in Period and Vertical Transformation
👉 Learn how to graph a cosine function. To graph a cosine 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...
Brian McLogan
Evaluate using trigonometric identities
👉 Learn how to evaluate trigonometric functions using trigonometric identities. Trigonometric identities are equalities that involve trigonometric functions. We will focus on the cofunction identities and even-odd identities. The...
Brian McLogan
Evaluate the cosine of an angle using period as an aide
👉 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
Solve a trigonometric equation with the sum and difference formulas for sine
👉 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
Why do we need the sum and difference formulas
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...