Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Solving Trigonometric Equation: Discover the Answer to 1 + cot^2(x) using Trig Identities and Definitions

1 + cot^2x = csc^2x There are a couple of ways you could approach this question, but one common method is to use the trigonometric identity: 1...

John Rhodes
June 21, 2023
Calculus

Proving the Pythagorean Identity: A Fundamental Trigonometric Identity and its Proof Using the Unit Circle

sin^2x + cos^2x = 1 The equation sin^2x + cos^2x = 1 is a fundamental trigonometric identity. It states that for any angle x, the sum of...

John Rhodes
June 21, 2023
Calculus

Slope-Intercept Form: Understanding Linear Relationships and Graphing Techniques.

Slope Intercept Form y=mx+b The slope-intercept form is a type of equation that describes the relationship between the x and y values on a coordinate plane. It...

John Rhodes
June 21, 2023
Calculus

Learn how to use the Point-Slope Form to quickly find the equation of a line in Cartesian coordinates

Point Slope Form y-y₁=m(x-x₁) The point-slope form is a method of expressing a linear function. It is used to describe a line in Cartesian coordinates, specifying one...

John Rhodes
June 21, 2023
Calculus

Understanding the Discriminant in Quadratic Equations – Real and Complex Roots Explanation

Discriminant b²-4ac In mathematics, a discriminant is a term that appears under the square root sign (radical) in the quadratic formula. The quadratic formula is a mathematical...

John Rhodes
June 21, 2023
Calculus

Understanding Quadratic Equations: Finding Two Real and Distinct Roots Using Discriminant

If b²-4ac > 0 There are 2 real roots If b²-4ac > 0, this means that the quadratic equation ax² + bx + c = 0 has...

John Rhodes
June 21, 2023
Calculus

Understanding Quadratic Equations: Real vs. Imaginary Solutions

If b²-4ac < 0 There are no roots If b²-4ac < 0, then the quadratic equation ax²+bx+c=0 has no real solutions. This is because when b²-4ac is...

John Rhodes
June 21, 2023
Calculus

Discover the Mystery behind the Quadratic Equation with b²-4ac = 0 and Its One Real Solution

If b²-4ac = 0 1 real root If b²-4ac = 0, then the quadratic equation ax²+bx+c=0 has only one real solution. To understand why, we need to...