Brian McLogan
How to find the vertical and horizontal asymptotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Finding the vertical and horizontal asymptotes
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Master Evaluating the double angle for Sine, Cosine and Tangent given an equation and constraint
Master Evaluating the double angle for Sine, Cosine and Tangent given an equation and constraint
Brian McLogan
Evaluating a Logarithm with Square Root of a Number as a Base
👉 Learn how to evaluate logarithms with radicals. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n =...
Brian McLogan
How to verify an identity by simplifying complex fractions
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Math tutorial for graphing an exponential function
👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the...
Brian McLogan
Master Evaluating Sine and Cosine using Sum and Difference formulas
Master Evaluating Sine and Cosine using Sum and Difference formulas
Brian McLogan
Master how to convert an angle in degrees to radians
Master how to convert an angle in degrees to radians
Brian McLogan
Verifying trigonometric identities by multiplying two binomials
👉 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 to determine when there is 1, 2 or no triangle
👉 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
How to identify vertical and horizontal asymptotes with holes
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Master Determine if there is one, two or no triangles for SSA ambiguous case
Timestamps: 0:00 Intro 0:55 Example #1 (one triangle) 4:30 Example #2 (no triangle) 5:05 Example #3 (two triangles) Corrections: 3:58 I made a mistake, I replaced the side b=15 to the angle A. It should have been h = (15)(sin40); (h = 9.64)
Brian McLogan
Master Condensing Logarithmic Expressions using the Properties of Logarithms
Master Condensing Logarithmic Expressions using the Properties of Logarithms
Brian McLogan
Master how to convert an angle in radians to degrees
Master how to convert an angle in radians to degrees
Brian McLogan
Write the equation of the polynomial given the zeros
👉 Learn how to write the equation of a polynomial when given complex 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
Learn how to divide polynomials using long division with a quadratic divisor
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Brian McLogan
Transformations of Functions | Preparing for Precalculus Part 3
Transformations of Functions | Preparing for Precalculus Part 3
Brian McLogan
Show the zero exists by the Intermediate Value Theorem
Show the zero exists by the Intermediate Value Theorem
Brian McLogan
Using the half angle formula for tangent to evaluate from 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
Pre-Calculus - Evaluating the Double Angle for Tangent 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
Pre-Calculus - Evaluating 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)...