Mathematics | Senioritis

John Rhodes
July 31, 2023
Calculus

Understanding the Derivative of Cos x | Exploring the Relationship with -Sin x

The derivative of cos x is… The derivative of cos x is -sin x The derivative of cos x is -sin x. To understand why, let’s go...

John Rhodes
July 31, 2023
Calculus

Exploring the Pythagorean Identity in Trigonometry | Understanding the Relationship between Sine and Cosine Functions

sin^2(theta)+cos^2(theta) = The equation sin^2(theta) + cos^2(theta) = 1 is known as the Pythagorean Identity in trigonometry The equation sin^2(theta) + cos^2(theta) = 1 is known as...

John Rhodes
July 31, 2023
Calculus

Exploring the Derivative of Tan x | Trigonometric Definition and Sec^2 x Connection

The derivative of tan x is… The derivative of tan x is sec^2 x, where sec x is the secant function The derivative of tan x is...

John Rhodes
July 31, 2023
Calculus

Simplifying the Equation | tan^2(theta) + 1 = sec^2(theta)

tan^2(theta)+1 = The equation you have given, tan^2(theta) + 1, can be simplified further using a trigonometric identity The equation you have given, tan^2(theta) + 1, can...

John Rhodes
July 31, 2023
Calculus

How to Find the Derivative of csc x Using the Quotient Rule

The derivative of csc x is… To find the derivative of csc x, we can use the quotient rule To find the derivative of csc x, we...

John Rhodes
July 31, 2023
Geometry

Understanding Tangent Lines and Circles | Exploring Congruency Between Circumscribed and Central Angles

if two segments or lines are tangent to a circle, then the circumscribed angle and the central angle that intercept the arc formed by the points of...

John Rhodes
July 31, 2023
Geometry

The Basics of Circles in Geometry | Definitions, Equations, and Applications

the set of all points in a plane that are the same distance from a given point The set of all points in a plane that are...

John Rhodes
July 31, 2023
Geometry

Understanding the Center and Radius | Key Concepts for Circles in Geometry

the given point that all points of a circle are equidistant from The given point that all points of a circle are equidistant from is called the...