Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering Trigonometric Limits: Explore the Fundamental Sin(x)/x Limit for Precise Derivative Calculations

Basic trig limit lim as theta approaches 0 of sin theta over theta is 1 The basic trigonometric limit is as follows: As x approaches 0, sin(x)/x...

John Rhodes
June 21, 2023
Calculus

Understanding Continuous Functions and the Intermediate Value Theorem in Calculus

What does it mean when a function is continuous? Means we can draw the graph without lifting pencil from paper; no holes, breaks or jumps on intervalf(c)...

John Rhodes
June 21, 2023
Calculus

Understanding Vertical and Removable Discontinuities in Rational Functions.

Rational functions are continous at each point in their domain except when In P(x)/Q(x) when Q(x)=0 Rational functions are functions that can be written in the form...

John Rhodes
June 21, 2023
Calculus

How to Find the Area of a Sector: Formula and Step-by-Step Guide

area of a sector formula A = 1/2r²θ with angle in RADIANS The formula for the area of a sector is: A = (θ/360) * π *...

John Rhodes
June 21, 2023
Calculus

Unlocking the Mystery of Arc Length Formula: A Guide to Calculating Length of Curves in Mathematics and Beyond

arc length formula s = rθ The arc length formula is used to calculate the length of a curve, or arc, on a function. It’s also known...

John Rhodes
June 21, 2023
Calculus

Mastering Special Right Triangles: Understanding the Ratios and Applications of 45-45-90 and 30-60-90 Triangles

special right triangles SEE PICTURE Special right triangles are two types of right triangles that have certain angles and side ratios that remain constant regardless of the...

John Rhodes
June 21, 2023
Calculus

Mastering Pythagorean Identities: The Fundamental Trigonometric Formulas for Simplifying Equations

pythagorean identities sin²θ + cos²θ = 1tan²θ + 1 = sec²θ1 + cot²θ = csc²θ Pythagorean identities are a set of trigonometric formulas in mathematics that relate...

John Rhodes
June 21, 2023
Calculus

Mastering Trigonometric Even-Odd Identities: Simplifying Complex Expressions.

even-odd identities sin(-x) = -sinxcos(-x) = cosxtan(-x) = -tanx Even-odd identities are trigonometric identities that relate the even and odd qualities of trigonometric functions with their respective...