Brian McLogan
Use a triangle to evaluate the composition of trig functions
👉 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 does domain restrictions affect the inverse of trig composition
👉 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
Find the value of the trigonometric expression using inverse
👉 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
Evaluate the trig expression with inverse tan
👉 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
Evaluate the sine, cosine, and tangent for an angle using special right triangles
👉 Learn how to evaluate trigonometric functions using the special right triangles. A right triangle is a triangle with 90 degrees as one of its angles. A special right triangle is a right triangle with the angles 30, 60, 90 degrees or...
Brian McLogan
Evaluate inverse cosine in a composition by creating a right triangle
👉 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
Given an angle evaluate all the trig functions
👉 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
Math tutorial for converting an angle from DMS form to decimal degree form
👉 Learn how to convert angles from DMS forms to decimal forms. DMS means Degree, Minutes, and Seconds. Minutes is represented by a single apostrophe (') while seconds is represented with double apostrophe ("). 60 seconds = 1 minute and...
Brian McLogan
How to write the radian measure of an angle in 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
How to Find the Amplitude Period and Phase Shift 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 Phase 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
Evaluate your six trig functions for a point on the unit circle
👉 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
Graphing the Cosine Graph
👉 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
Solve all solutions with a double angle by dividing by 2
👉 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...
Brian McLogan
Solve a trig equation with a double angle
👉 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...
Brian McLogan
Evaluating for the tangent of an angle using the difference formula, tan
👉 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...
Brian McLogan
What is the division property for trigonometric expressions
👉 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,...
Brian McLogan
Using sum and difference formula to find the exact value with cosine
👉 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...
Brian McLogan
Simplifying a trigonometric expression by factoring out a GCF
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Pre-Calculus - Learn How To Evaluate the Double Angle of Sine
👉 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
Learning to solve an equation by using the sum and difference formulas
👉 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 evaluate for the cosine of an angle using the half angle formula
👉 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
Factor by grouping your trig identity
👉 Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Evaluate the half angle of sine given an angle in radians
👉 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...