Brian McLogan
Learn how to verify an identity by using the sum and difference formulas
👉 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....
Brian McLogan
Graphing Sine with a Phase Shift
👉 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 a Radian Angle in Terms of 6ths
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
Master learn how to find the inverse of a function
Master learn how to find the inverse of a function
Brian McLogan
Learn how to find the end behavior of a factored polynomial
👉 Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Brian McLogan
Master Simplifying radical expressions using rational powers and the product rule
Master Simplifying radical expressions using rational powers and the product rule
Brian McLogan
Learning to identify horizontal and vertical asymptotes of a 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
How to identify the 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
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
Master how to divide two polynomials using long division with missing terms
Master how to divide two polynomials using long division with missing terms
Brian McLogan
Simple way to evaluate trigonometric functions using the Unit Circle
Looking for an easy way to remember the unit circle or just use it to evaluate trigonometric functions. If you are in a pinch of time here is a brief explanation of how I taugh my Algebra 2 students.
Brian McLogan
How to Find the Amplitude, Period, Phase Shift and Vertical Translation 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
Learn how to verify an identity squaring a binomial
👉 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 simple trigonometric identity
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term on the left hand side of the equality sign is equal to the term on the right hand side. To...
Brian McLogan
Tutorial for solving a trig equation with half angle and sine
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Ambiguous case, law of sines, 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
Identify asymptotes and intercepts 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
How to determine the VA of a 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
Master Graphing the cosine function with a Phase Shift
Master Graphing the cosine function with a Phase Shift
Brian McLogan
Master Graphing the Reciprocal Function with Labeling Domain and Range
Master Graphing the Reciprocal Function with Labeling Domain and Range
Brian McLogan
Master Evaluating the half angle for sine, cosine, and tangent given an angle
Master Evaluating the half angle for sine, cosine, and tangent given an angle
Brian McLogan
Master how to find all of the zeros of a polynomial when given one irrational zero
Master how to find all of the zeros of a polynomial when given one irrational zero
Brian McLogan
Pre-Calculus - Using Properties of Logs to Simplify a Logarithmic Expression Without a Calculator
👉 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 =...