John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Trigonometry

Unlocking The Power Of Trigonometric Identity: The Double Angle Identity For Sin.

Double Angle Identity for Sin sin2x=2sinxcosx The double angle identity for sin is a trigonometric identity that relates the sine of twice an angle to the sine...

John Rhodes
June 21, 2023
Trigonometry

Mastering The Double Angle Identity For Cosine In Mathematics.

Double Angle Identity for Cosine I (sin & cos) cosine2x=cos^2(x)-sin^2(x) The double angle identity for cosine states that: cos(2θ) = cos²(θ) – sin²(θ) or cos(2θ) = 2cos²(θ)...

John Rhodes
June 21, 2023
Trigonometry

Mastering The Double Angle Identity For Cosine And Its Sin Equivalent

Double Angle Identity for Cosine II (sin) cos2x=1-2sin^2(x) The double angle identity for cosine states that: cos(2θ) = 1 – 2sin^2(θ) To rewrite this identity using sin,...

John Rhodes
June 21, 2023
Trigonometry

Simplify Trigonometric Expressions With The Double Angle Identity For Cosine

Double Angle Identity for Cosine III (cos) cos2x=2cos^2(x)-1 The double angle identity for cosine provides a way to express the cosine of a angle in terms of...

John Rhodes
June 21, 2023
Calculus

Master The Intermediate Value Theorem: Proving Existence Of Solutions And Analyzing Functions

Intermediate Value Theorem If f(1)4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis. The Intermediate Value Theorem (IVT)...

John Rhodes
June 21, 2023
Calculus

Average Rate Of Change In Mathematics: Formula And Concepts Explained

Average Rate of Change Slope of secant line between two points, use to estimate instantanous rate of change at a point. The average rate of change is...

John Rhodes
June 21, 2023
Calculus

The Instantaneous Rate Of Change: A Key Concept In Mathematics And Its Applications In Various Fields

Instantenous Rate of Change Slope of tangent line at a point, value of derivative at a point The instantaneous rate of change is a mathematical concept that...

John Rhodes
June 21, 2023
Calculus

The Formal Definition Of Derivatives In Mathematics: Calculating Instantaneous Rates Of Change

Formal definition of derivative limit as h approaches 0 of [f(a+h)-f(a)]/h The formal definition of a derivative is the limit of the ratio of the change in...