Brian McLogan
Factoring out a GCF then solving using the square root method
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Curated Video
The Pythagorean Theorem: See a Proof and Learn How to Use the Theorem
During this video lesson, students will be introduced to the Pythagorean Theorem which is read a squared plus b squared equals c squared. Students will learn key vocabulary and how to identify the legs and hypotenuse of a right triangle....
Brian McLogan
Master How to solve a quadratic equation by completing the square
So what I'd like to do is show you how to solve a quadratic equation and by completing the square. Now, typically, completing the square, we look into factoring. And if it's not factorable, we can use the quadratic formula. Now, a...
Brian McLogan
Where does logarithmic equations come from
π Learn all about logarithms. The logarithm of a number say 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 = a). The logarithm of a number is...
Brian McLogan
Adding and subtracting the cube root of three radical expressions
π Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Curated Video
GCSE Secondary Maths Age 13-17 - Pythagoras & Trigonometry: Cosine Rule - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
How do we apply inverses to trigonometric functions
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Curated Video
Introduction to Kinetic Energy and How to Calculate It
The video is a lecture on the topic of kinetic energy, discussing what it is and how to calculate it. The lecturer uses examples, such as a car and a football, to explain the equation for calculating the kinetic energy of an object. The...
Brian McLogan
Find the distance between the two coordinate points ex 1
π Learn how to find the distance between two points. The distance between two points is the length of the line joining the two points in the coordinate plane. To find the distance between two points in the coordinate plane, we make use...
Brian McLogan
Given the area determine the diameter of a circle
π Learn how to find the area and perimeter of a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides. The area of a shape is the measure of the portion enclosed by the shape while the perimeter of a shape is...
Brian McLogan
Tutorial - Given the Cosine of an Angle Determine the Double Angle for Sine, Cosine and Tangent
π 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
Learn how to evaluate the half angle for sine in radians
π 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...
Brian McLogan
Domain of Rational Radical Function
π Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Brian McLogan
Solving trigonometric equation by using reciprocal function
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Find the solutions to a trig equation between 0 and 2pi
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Evaluating the integral with trig tangent
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
The Quick and Easy Way to Simplify the Square Root of a Number, Sqrt(84)
π 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
How to simplify the square root of an expression by using perfect squares
π 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
Simplifying the root of a variable expression using the product power, root(a^8 b^18)
π 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
Multiplying Two Radical Expression Together by Simplifying First
π 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 Multiply to Binomials with Radical Terms
π 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 evaluate a radical of a perfect square rational number ex 6, root(1/25)
π 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
Using the difference of two squares to solve a quadratic
πLearn 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
Learning to solve a quadratic by factoring a perfect square trinomial
πLearn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...