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
How to find the missing parts of a triangle using law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
Brian McLogan
Find the missing measure of a triangle given AAS Law of Sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the...
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
Finding the Period and Amplitude of a Graph
👉 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
How to find the missing length of a triangle without a calculator
How to find the missing length of a triangle without a calculator
Brian McLogan
One, Two, Or No Triangles (How Can You Tell)
The ambiguous case can be very confusing on how to determine 1, 2 or no triangles and how it can make sense. In this video I try to give you visual pointers as well as some formulas to help you remember what case you have. Hope it helps.
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 Period, Amplitude and Frequencey of Sine Function
👉 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
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
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
Law of sines Ambiguous case two solutions
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
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
How to use law of sines when you have one solution
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Brian McLogan
Verifying a trigonometric Identities
👉 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
Using sum and difference formulas to verify a trigonometric identity
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....