Calculus | Senioritis

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
Calculus

The Importance of Natural Numbers in Mathematics: Properties and Uses

Natural Numbers the set of numbers used for counting that consists of all the positive numbers, excluding zero. Denoted by the capital letter: N. Natural numbers are...

John Rhodes
June 21, 2023
Calculus

Discover the Double Angle Identity in Trigonometry: Sin(2x) Explained

sin 2x 2sinxcosx In trigonometry, the sine function is denoted by sin(x), where x is an angle measured in radians. The sine of an angle is defined...