John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Understanding the Sine Function: From Right-Angled Triangles to the Unit Circle

sinx cosx The trigonometric function sinx represents the sine of an angle. The sine of an angle in a right-angled triangle is defined as the ratio of...

John Rhodes
June 21, 2023
Calculus

Understanding the Tangent Function: Definition, Properties, and Identities

tanx sec^2x The function tan(x) represents tangent of angle x. It is defined as the ratio of the sine of x to the cosine of x: tan(x)...

John Rhodes
June 21, 2023
Calculus

Understanding the Properties and Computation of Secant Function in Trigonometry

secx secxtanx secx is a trigonometric function that represents the reciprocal of the cosine function. The abbreviation sec stands for secant. The formula for secx is: secx...

John Rhodes
June 21, 2023
Calculus

Understanding the Cotangent Function: Definition, Formula, and Applications.

cotx -csc^2x The cotangent of x (cot x) is a trigonometric function that represents the ratio of the adjacent side to the opposite side of a right-angled...

John Rhodes
June 21, 2023
Calculus

Euler’s Number and Its Applications: Understanding the Function e^x in Mathematics

e^x e^u x u’ The symbol e represents a mathematical constant called Euler’s number and its approximate value is 2.71828. When the letter x is placed as...

John Rhodes
June 21, 2023
Calculus

Simplifying Math Expressions with Logarithms and Exponents: How to Reduce a^u x ln(a) to its Simplest Form

a^u x lna a^u x u’ x lna The expression a^u x ln(a) can be simplified using the properties of logarithms and exponents. Recall that ln(a) represents...

John Rhodes
June 21, 2023
Algebra

Unlocking the Power of Prime Numbers: A Comprehensive Guide to Understanding and Utilizing Their Key Properties

Prime Numbers A Natural number greater than 1 that is NOT a Product of two smaller Natural numbers. They only have 2 factors: 1 and themselves. Prime...

John Rhodes
June 21, 2023
Algebra

Understanding Perfect Squares: Definition, Properties, and Applications

Perfect Squares Numbers whose square roots are integers. They are the product of a number times exactly itself. Perfect squares are numbers that can be expressed as...