John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 30, 2023
Calculus

Understanding the Function sin(2x) and its Calculation Using the Double-Angle Identity

sin 2x In mathematics, the function sin(2x) refers to the sine of the angle 2x In mathematics, the function sin(2x) refers to the sine of the angle...

John Rhodes
July 30, 2023
Calculus

Understanding the Double-Angle Identity for Cosine and How to Find Cos 2x given an Angle x

cos 2x The term “cos 2x” represents the cosine of twice the value of angle x The term “cos 2x” represents the cosine of twice the value...

John Rhodes
July 30, 2023
Calculus

Understanding the Power to Double Angle Formula | Expressing cos^2x in Terms of cos(2x)

cos^2x (Power to Double Angle) When we see the expression cos^2x, it refers to taking the cosine of x and squaring the result When we see the...

John Rhodes
July 30, 2023
Calculus

Understanding the Two Interpretations of sin^2x and the Double-Angle Formula

sin^2x (Power to Double Angle) The expression “sin^2x” can be interpreted in two different ways, and I will explain both interpretations: 1 The expression “sin^2x” can be...

John Rhodes
July 30, 2023
Calculus

Understanding the Relationship | sin(-x) is the Negative of sin(x)

sin(-x) The sine function, denoted as sin(x), is a mathematical function that relates the angle x in a right triangle to the ratio of the length of...

John Rhodes
July 30, 2023
Calculus

Understanding the Cosine Function | Exploring cos(-x) and its Relationship with cos(x) on the Unit Circle

cos(-x) The cosine function, denoted as cos(x), is a trigonometric function that represents the ratio of the adjacent side to the hypotenuse in a right triangle The...

John Rhodes
July 30, 2023
Calculus

Explaining the Tangent Function and Its Behavior for Negative Angles in Mathematics

tan(-x) In mathematics, the tangent function (tan) is a trigonometric function that relates the ratio of the lengths of the opposite and adjacent sides of a right...

John Rhodes
July 30, 2023
Calculus

Understanding the Absolute Value Function | Explained with Examples and Properties

|x| The symbol “|x|” represents the absolute value of a number, x The symbol “|x|” represents the absolute value of a number, x. The absolute value of...