Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Maximizing Your Trigonometric Expressions: How to find cos(2x) using Double Angle & Angle Addition Formulas

cos 2x cos^2 x – sin^2 x To find cos(2x), we can use the double-angle identity for cosine, which states that: cos(2x) = cos²(x) – sin²(x) Alternatively,...

John Rhodes
June 21, 2023
Calculus

Discover the Double Angle Formula for Cosine and Simplify Trigonometric Expressions with Cos²(x)

cos^2x (Power to Double Angle) 1/2(1+cos2x) The double angle formula for cosine states that: cos(2x) = cos²(x) – sin²(x) Now, if we rearrange this equation, we can...

John Rhodes
June 21, 2023
Calculus

Master the Double Angle Identity in Trigonometry: Simplifying sin^2x with sin(2x) for Optimal Results

sin^2x (Power to Double Angle) 1/2(1-cos2x) The identity for the sine of double angle states that sin(2x) = 2sin(x)cos(x). We can use this identity to simplify sin^2x...

John Rhodes
June 21, 2023
Calculus

Understanding Cosine Function: Evaluating cos(-x) with Geometric Definitions

cos(-x) cosx The function cos(-x) means cosine of the negative of x. In other words, we evaluate the cosine function for the opposite angle of x on...

John Rhodes
June 21, 2023
Calculus

Understanding the Basics of Absolute Value: A Guide to Finding The Distance Between a Number and Zero

|x| x if x>=0-x if x

John Rhodes
June 21, 2023
Calculus

Simplify Trigonometric Expressions with Sine of the Sum of Two Angles Formula

sin(A+B) sinAcosB+cosAsinB Using the trigonometric identity for the sine of the sum of two angles, we have: sin(A+B) = sin(A)cos(B) + cos(A)sin(B) This formula holds true for...

John Rhodes
June 21, 2023
Calculus

Mastering Trigonometric Identity: How to Calculate Sin(A-B) Using Angle Subtraction Formula

sin(A-B) sinAcosB-cosAsinB To find sin(A-B), we can use the trigonometric identity: sin(A-B) = sin A cos B – cos A sin B where A and B are...

John Rhodes
June 21, 2023
Calculus

Understanding the Importance and Applications of Vertices in Mathematics

vertex the endpoint that is shared by 2 rays In mathematics, a vertex is a point where two or more lines, curves, or edges meet. It is...