Brian McLogan
Expanding logarithmic expressions
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
How to find the domain radical in numerator and denominator
👉 Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function,...
Brian McLogan
Review of trigonometry Points on the Unit Circle
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Brian McLogan
Learn to solve your trigonometric equation with sine squared
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Evaluate the square root of a perfect square rational number ex 8, root(64/196)
👉 Learn how to find the square root of rational numbers. To find the square root of a rational number, we first express the rational number as the square root of the numerator divided by the square root of the denominator and simplify....
Brian McLogan
Use the prime factorization of a number to simplify a radical expression
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Learn How to Simplify the Square Root of a Number by Prime Factorization, Sqrt(81)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn How to Multiply Two Radical Expression and Simplify
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
How to apply the quadratic formula to solve for two real solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Solve a quadratic equation by factoring when given a difference of 2 squares
👉Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Brian McLogan
How to find the x intercepts and vertex of a parabola
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Curated Video
Exploring the Relationship between Sine and Cosine Ratios
In this video, the relationship between sine and cosine ratios is explored by analyzing their respective graphs. The concept of complementary angles is introduced, showing that the sine and cosine of complementary angles are equal. The...
Brian McLogan
What you need to know | Applications of Trigonometry
In this video I will show you what you should expect to know before starting your chapter on Applications of Trigonometry. In applications of trigonometry we will explore solving trigonomtric word problems, law of sines, cosines,...
Brian McLogan
Determine the Remaining Zeros Given One Zero
👉 Learn how to find all the zeros of a polynomial given one rational zero. 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 zeros of a...
Brian McLogan
Complex Zeros of Polynomials | Polynomials | Pre-Calculus
In this video we explore how to determine the complex zeros of a polynomial function by factoring and division. We also will explore the fundamental theorem of algebra, Descartes rule of signs, and the rational zero test.
Brian McLogan
Algebra 2 - Why do we use complex numbers for square roots
In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex numbers.
FuseSchool
Exact Trig Values - Hand Trick
There are some key angles that have exact values in trigonometry. The ones we need to know are 0, 30, 45, 60 and 90. In this video we will discover one method of remember what these values are - by counting fingers on our hand! In the...
Brian McLogan
Expanding a logarithmic expression raised to the third power
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
How to find the center, vertices and foci of an ellipse
Learn how to graph horizontal ellipse centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major...
Brian McLogan
Graph the equation of an ellipse with center at the origin and a vertical major axis
Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...
Brian McLogan
What is inverse trig and how does it relate to what we know
👉 Learn how to evaluate inverse trigonometric functions. When an angle is unknown but the value of one of the trigonometric functions of the angle is known, we can evaluate the value of the angle using the inverse trigonometric function...
Brian McLogan
Given Sine, evaluate the half angle of cosine
👉 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
Using herons formula to find the area of a triangle
Learn how to find the area of a triangle. The area of a triangle is the measure of the region enclosed by the triangle. There are several methods that can be used to find the area of a triangle depending on the available information....