Brian McLogan
Simplifying an expression using the rules of exponents and fraction exponents
👉 Learn how to simplify rational powers using the power and the quotient rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the quotient law which states...
Brian McLogan
Rationalize the denominator to simplify a radical expression
👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...
Brian McLogan
Learn how to evaluate the six trig functions given a coordinate point
👉 Learn all about evaluating trigonometric functions with triangles. In this playlist, we will learn how to evaluate, sine, cosine, tangent, cotangent, secant, and cosecant when given the sides of a triangle. If we have missing sides we...
Brian McLogan
How to solve a radical equation by using rational powers using absolute value
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn how to solve an equation where both sides are raised to 1 half power
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn how to use power to quotient rule to simplify an expression with rational power
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Learn how to rationalize the denominator of an expression with a radical on denominator
👉 Lean how to divide rational expressions with a radical in the denominator. To divide rational expressions with a radical in the denominator, we rationalize the denominator by multiplying both the numerator and denominator by the...
Brian McLogan
Find the angle given the tangent function and it's value
Find the angle given the tangent function and it's value
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Manipulating Surds - 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
Learn how to evaluate for the secant of - 150 degrees
👉 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...
Brian McLogan
Learn how to rationalize the denominator with a binomial and radical
👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...
Brian McLogan
Divide a quadratic function by a square root function to determine the domain
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Simplifying an expression with rational powers using power to quotient and product rule
👉 Learn how to simplify rational powers using the power and the quotient rules. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the quotient law which states...
Brian McLogan
Rationalizing the denominator with a radical in the numerator and denominator
👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...
Brian McLogan
Subtracting the cube root of two numbers and simplifying
👉 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
Inding the Domain from the Composition of Two Functions
Learn how to compose two functions where one is a rational function and the other is a radical function. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the...
Curated Video
Rationalizing the Denominator
This lesson will cover rationalizing the denominator using a factor of 1 and conjugates.
Brian McLogan
Use the difference quotient to find the derivative of square root
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
How to evaluate the inverse of cosecant with the unit circle
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
How to find the ratio of csc, sec and cot for 30 degrees
👉 Learn how to evaluate the six trigonometric functions given a right triangle. A right triangle is a triangle with 90 degrees as one of its angles. A right triangle is made up of two legs, which formed the sides of the 90 degrees angle...
Brian McLogan
Learn step by step how to find the inverse of an equation, then determine if a function or not
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
How to simplify an expression by dividing the terms under the radical first
👉 Learn how to find the 4th root of rational expressions. To find the 4th root of a rational expression, we first express the rational expression as the 4th root of the numerator divided by the 4th root of the denominator. Next we...
Brian McLogan
Simplifying fraction being raised to a rational power, fraction raised to a fraction
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Learn how to rationalize the denominator with a binomial in denominator
👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...