Brian McLogan
Solving trigonometric equations with multiple angles
👉 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...
Brian McLogan
Given the imaginary zeros find the equation of the polynomial
👉 Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
Brian McLogan
Using half angle formulas to solve trigonometric equations
👉 Learn how to solve equations using half-angle identities. To do this we will replace every trig function with half angles using the identity. Then we will simplify and solve trigonometric functions. To find the values we will use the...
Brian McLogan
Write an expression as a single trig function of an angle using sum and difference form
👉 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
Find the value of x when 2 functions are set equal to each other
In this video tutorial I show you how to solve a quadratic equation by factoring. To do this we first need to factor the equation by using any of the methods we have previously discussed. We then set our factored form of our quadratic to...
Brian McLogan
Solve equation 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 find the bearing and distance a boat travels using trigonometry
👉 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...
Brian McLogan
Simplifying a trigonometric expression by getting common denominators
👉 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
Learn how to evaluate using the difference of two angles 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 Never ending radical | Can You Solve?
Evaluate Never ending radical | Can You Solve?
Brian McLogan
Find the missing length using special right triangles
Find the missing length using special right triangles
Brian McLogan
Expand a binomial to the fifth power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Master Determining the the end behavior of a polynomial by using the leading coefficient test
Brian McLogan
Law of sines Ambiguous case Two Triangles
👉 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
Learn how to determine the domain from the quotient of two functions
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Binomial expansion to the sixth power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Pc Unit 3 How to evaluate for sine using the unit circle for an angle larger than 2pi
👉 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
Given a coordinate point, evaluate the six trigonometric functions
👉 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...
Brian McLogan
Calculus - Take the derivative of a natural logarithm using properties of logs, d((x^2)lnx)/dx
In this video series you will learn how to take the derivative of a function. We will first look at the definition of a derivative by identifying the slope of a line to a curve and using the limit definiton of a derivative to evaluate....
Brian McLogan
Learn how to convert an angle in radians whole number to degrees
👉 Learn all about angles of trigonometry. In this playlist, we will explore what makes up an angle and how to graph an angle in degrees or radians to determine the quadrant. We will then take a look at angle relationships such as...
Brian McLogan
Graphing the Cosine Function with a Change in the Period
👉 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 Evaluate the tangent of double angle using the tangent double-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
Master How to determine the area of an oblique triangle
Master How to determine the area of an oblique triangle
Brian McLogan
Master Evaluating the half angle for sine, cosine, and tangent given a right triangle
Master Evaluating the half angle for sine, cosine, and tangent given a right triangle