Curated Video
Solving Linear Equations with Fractions and Decimal Coefficients
In this video, the teacher explains how to solve linear equations that involve fractions and decimal coefficients. They introduce the concept of equations being like a scale that needs to balance on both sides.
Brian McLogan
Write an expression as a single function using the sum and difference formulas
π Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Brian McLogan
Finding the quotient of two mixed numbers
π Learn how to divide mixed numbers. To divide mixed numbers, we first convert the mixed numbers to improper fractions. After we have converted the mixed numbers to improper fractions, we can then multiply the first fraction by the...
Brian McLogan
Using the slope formula to determine if points make up a rectangle
π Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of...
Brian McLogan
Applying 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
How to determine the sum of a infinite geometric series
π Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
Learn how to create a triangle and evaluate all six trig functions given cosecant
π Learn how to evaluate the six trigonometric functions given the value of one of the trigonometric functions. When given the value of one of the trigonometric functions of an angle, we can evaluate the values of the other trigonometric...
Brian McLogan
Condensing a logarithmic expression and simplifying the expression
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Find the paticular solution given a reciprocal function and condition
π Learn how to find the particular solution to 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...
Curated Video
Graphs of Trigonometric Functions
In this lesson, students will learn about the graphs of the four trigonometric functions (tangent, cotangent, secant, and cosecant) by relating them to the sine and cosine graphs. They will understand the patterns, zeros, and asymptotes...
Brian McLogan
How to determine the quotient between two mixed numbers
π Learn how to divide mixed numbers. To divide mixed numbers, we first convert the mixed numbers to improper fractions. After we have converted the mixed numbers to improper fractions, we can then multiply the first fraction by the...
Curated Video
Understanding the Domain of Trigonometric Functions: Examining Denominators of Trig Ratios
In this video, students will learn about the domain of the six trigonometric functions by examining the denominators of the trig ratios. They will understand the reciprocal pairs of the trig functions and how they can be rewritten in...
Brian McLogan
How to use the half angle formula for tangent tan75
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
Graph piecewise functions logarithmic and reciprocal
π Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Finding the exact value for sine of 15 degrees using the half angle formula
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
How to use the half angle formula for tangent to evaluate for an angle
π 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
Dividing rational expressions
π Learn how to simplify expressions by dividing its terms. Remember that dividing a fraction is the same as multiplying by the reciprocal. When multiplying expressions, each individual term of the expression is multiplied to its like...
Brian McLogan
How to determine the quotient of two negative mixed numbers
π Learn how to divide mixed numbers. To divide mixed numbers, we first convert the mixed numbers to improper fractions. After we have converted the mixed numbers to improper fractions, we can then multiply the first fraction by the...
Brian McLogan
How to write the transformations given a square root function
π Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
How do you simplify trigonometric expressions
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
Simplifying trigonometric expressions by using pythagorean identities
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
Writing the perpendicular equation of a line
π Learn how to write the equation of a line that is perpendicular to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various...
Brian McLogan
Learn how to solve and graph the solution for a compound inequality
π Learn how to solve and graph compound linear inequalities. A compound inequality is an inequality having more than 1 inequality sign. To solve compound inequalities, we use inverse operations, applying the inverse operation to each...
Brian McLogan
Determine a line perpendicular to to another through a given point using point slope form
π Learn how to write the equation of a line that is perpendicular to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various...