Brian McLogan
Evaluating the sum of an infinite series
👉 Learn how to find the sum of a series using sigma notation. A series is the sum of the terms of a sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n...
Brian McLogan
Adding two basic rational expressions by determining the LCM
Learn how to add and/or subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational...
Brian McLogan
Using the exterior angle sum theorem to find the value of x
👉 Learn how to solve for an unknown variable in the exterior angle of a polygon. The exterior angle of a polygon is the angle between a side of the polygon and an outward extension of the adjacent side. The sum of the exterior angles of...
Brian McLogan
Determining the value of x by finding the sum of interior angles
👉 Learn how to solve for an unknown variable in the interior angle of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle of a polygon is the angle between two sides of the polygon. The...
Brian McLogan
When given the first four terms of a sequence find the formula
👉 Learn how to determine the first five terms of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a...
Brian McLogan
Using the additions of two angles and cosine
👉 Learn how to evaluate the cosine 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 the sum of two angles using the tangent formula, tan
👉 Learn how to evaluate the tangent of an angle in degrees 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
Subtracting a radical expression
👉 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...
Brian McLogan
Learn how to add two radical expressions together
👉 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...
Brian McLogan
Adding complex rational expressions and simplifying the answer
In this video series I will show you how to add and subtract rational expressions. When adding and subtracting fractions it is important for us only to combine terms when they have the same denominator. This holds true for rational...
Visual Learning Systems
Properties of Numbers: Additive Identity Property of Addition
This math program explores the major mathematical laws on properties including the cummutative property, associative property, and additive identity property. Colorful real-world examples help make these confusing concepts easy to...
Flipping Physics
Summing the Forces is Vector Addition
Summing the forces is nothing new, it is vector addition. This video compares summing the forces to graphical vector addition. This video builds off the previous video "A Three Force Example of Newton's 2nd Law with Components” which you...
Brian McLogan
Using the interior angle sum theorem for finding x of a pentagon
👉 Learn how to solve for an unknown variable in the interior angle of a polygon. A polygon is a plane shape bounded by a finite chain of straight lines. The interior angle of a polygon is the angle between two sides of the polygon. The...
Brian McLogan
Evaluating for the tangent of an angle using the sum formula, tan
👉 Learn how to evaluate the tangent of an angle in degrees 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
How to apply the sum of angles for the tangent of an angle
👉 Learn how to evaluate the tangent of an angle in degrees 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 cosine of an angle using the difference of two angles formula
👉 Learn how to evaluate the cosine 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...
Flipping Physics
Using Newton's Second Law to find the Force of Friction
In order to use Newton’s Second Law, you need to correctly draw the Free Body Diagram. This problem explains a common mistake students make involving the force applied. We also review how to find acceleration on a velocity as a function...
Brian McLogan
What is the sum of all central angles for a circle
Learn how to solve problems with arcs of a circle. An arc is a curve made by two points on the circumference of a circle. The measure of an arc corresponds to the central angle made by the two radii from the center of the circle to the...
Brian McLogan
Using sum of two angles to evaluate an angle in radians for tangent, tan
👉 Learn how to evaluate the tangent of an angle in degrees 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
Using difference of two angles with tangent to evaluate
👉 Learn how to evaluate the tangent of an angle in degrees 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
Math tutorial for using the sum of two angles formula for the tangent of 105 degrees
👉 Learn how to evaluate the tangent of an angle in degrees 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
Using the addition of two angles formula and 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
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
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...