John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 7, 2023
Geometry

Understanding Adjacent Angles: Definition, Examples, and Properties

adjacent angles Adjacent angles are a pair of angles that have a common vertex and a common side between them, but do not overlap Adjacent angles are...

John Rhodes
July 7, 2023
Geometry

The Importance of Postulates in Mathematics: Building a Solid Foundation for Logical Reasoning

postulate A postulate, also known as an axiom, is a statement that is accepted as true without proof A postulate, also known as an axiom, is a...

John Rhodes
July 7, 2023
Geometry

Exploring Counterexamples in Mathematics: Challenging General Statements and Theories

counterexample A counterexample is a specific example or case that disproves a statement or theory A counterexample is a specific example or case that disproves a statement...

John Rhodes
July 7, 2023
Calculus

Understanding the Relationship between Sin(x) and Sin(-x): Exploring the Symmetry and Sign Change of Sine Function

sin(-x) The function sin(x) represents the sine of an angle x The function sin(x) represents the sine of an angle x. In trigonometry, the sine function is...

John Rhodes
July 7, 2023
Calculus

Simplifying the Expression 1 + cot^2(x): A Trigonometric Approach

1 + cot^2 x To simplify the expression 1 + cot^2(x), we need to use the trigonometric identity that relates cotangent to cosine: cot^2(x) = 1 /...

John Rhodes
July 7, 2023
Calculus

Simplifying the Expression 1 + tan^2(x) Using Trigonometric Identity

1 + tan^2 x To simplify the expression 1 + tan^2(x), we can use the trigonometric identity for the Pythagorean theorem that relates tan(x) to sin(x) and...

John Rhodes
July 7, 2023
Calculus

Understanding the Pythagorean Identity: Exploring the Relationship between the Sine and Cosine Functions

sin^2 x + cos^2 x The expression sin^2 x + cos^2 x represents the sum of the squares of the sine and cosine functions for a given...

John Rhodes
July 7, 2023
Calculus

How to Find the Derivative of csc(x) using the Chain Rule: Step-by-Step Guide with Trigonometric Identities

d/dx(csc(x)) To find the derivative of csc(x), we can use the chain rule To find the derivative of csc(x), we can use the chain rule. The derivative...