Mathematics | Senioritis

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
Probability

Understanding Probability: The Fundamental Concept of Measuring Likelihood and Chance

Probability The quality of fact of being probable. The likelihood of something. A number between 0 and 1 that describes the likelihood that an outcome will occur....

John Rhodes
June 21, 2023
Probability

Understanding Experimental Probability: How Real-world Observations Improve the Accuracy of Probability Calculations

Experimental Probability The ratio of the number of ties an event occurs to the total amount of trials performed. Probability that is found through an experiment. Experimental...