Brian McLogan
Using sigma sum notation to evaluate the partial sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic...
Brian McLogan
Tutorial - Evaluating Logarithms without a Calculator
👉 Learn how to evaluate basic logarithms. 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 = a). Thus,...
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
Can you evaluate a log for a negative number
👉 Learn all about the properties of 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...
Brian McLogan
Evaluating the partial sum of a 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
Evaluate the Composition of Two Functions
Learn how to compose two functions where one or both of those functions is/are radical. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of...
Brian McLogan
Evaluate the Composition of Two Functions Given a Value
Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of the functions with the value of the...
Brian McLogan
What are even and odd trigonometric functions
In this video series we explore the definitions of trigonometric identities. It is very important when simplifying, verifying and solving trigonometric problems that we know the trig identities. We will explore the identities such as...
Curated Video
Evaluating Expressions
Evaluate numerical statements that contain bracketed expressions according to the order of precedence.
Brian McLogan
How to evaluate an algebraic expression, x^2 + yx - (3y + x) + 2; x = -2 and y = 3
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Using an equation to model part and whole of an angle - Free Math Videos - Online Tutor
👉 Learn how to find the value of an unknown variable in the expressions representing the values of angles given the relationship between the angles. When given expressions representing the values of angles and the relationship between...
Brian McLogan
Verify the identity 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
Using the half angle of cosine to evaluate cos
👉 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
Simplifying a trigonometric expression using tangent
👉 Learn how to simplify trigonometric function of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the unit circle and Pythagoras theorem to identify and obtain the values of the needed...
Brian McLogan
Evaluate the half angle in radians for cosine
👉 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
Solving for tangent of a multiple angle
👉 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
Pre-Calculus - Evaluating the cosine of an angle using the sum formula cos(11π/12)
👉 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
Pre-Calculus - How to use the addition formula for two angles of sine cos105
👉 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 radical of a perfect square fraction ex 9, root(49/121)
👉 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
How to evaluate a rational function given three different input values
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Curated Video
Excel VBA Programming The Complete Guide - Boolean Expressions
A Boolean is a special data type whose value can only be True or False. In this lesson, we explore the concept of truthiness and falsiness with the help of common mathematical operations and string comparisons. This clip is from the...
Curated Video
GCSE Secondary English Age 13-17 - Vocabulary: Evaluate - Explained
SchoolOnline's Secondary English videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key skill in English Reading and Writing that students need to master in clear and easy to...
Brian McLogan
Math tutorial for evaluating the composition of the sine and tangent function
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
Using period as an aide with periodic functions
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...