Trigonometry | Senioritis

John Rhodes
July 7, 2023
Trigonometry

Mastering the Quotient Rule: Deriving the Secant Squared of Tan(x)

tan(x)’ = The derivative of tan(x) can be computed using the quotient rule The derivative of tan(x) can be computed using the quotient rule. Using the quotient...

John Rhodes
July 7, 2023
Trigonometry

Understanding the Chain Rule: Finding the Derivative of cosine(x)

cos(x)’ = To find the derivative of cos(x), we can make use of the chain rule To find the derivative of cos(x), we can make use of...

John Rhodes
July 7, 2023
Trigonometry

Proving the Derivative of sin(x) is cos(x) using the Limit Definition of Derivative

sin(x)’ = The derivative of sin(x) is cos(x) The derivative of sin(x) is cos(x). To prove this, we can utilize the limit definition of derivative. The derivative...

John Rhodes
July 7, 2023
Trigonometry

How to Find the Derivative of the Function f(x) = arctan(x) Using the Definition of the Derivative

d/dx arctan(x) To find the derivative of the function f(x) = arctan(x), we can use the definition of the derivative: The derivative of f(x) with respect to...

John Rhodes
July 7, 2023
Trigonometry

Derivative of arccos(x): Finding the Rate of Change for the Inverse Cosine Function

d/dx arccos To find the derivative of the inverse cosine function (arccos), we can start by recalling the definition of the arccos function To find the derivative...

John Rhodes
July 7, 2023
Trigonometry

Derivative of arcsin(x): Finding the derivative of the function f(x) = arcsin(x) using the chain rule

d/dx arcsin(x) To find the derivative of the function f(x) = arcsin(x), we can use the chain rule To find the derivative of the function f(x) =...

John Rhodes
July 7, 2023
Trigonometry

Simplifying the Expression: Rewrite Arcsec Function and Apply Identity and Definition

(1/. a)arcsec(u/. a)+c = To simplify the expression, we will rewrite the arcsec function in terms of its reciprocal, the sec function To simplify the expression, we...

John Rhodes
July 7, 2023
Trigonometry

How to Simplify the Expression (1/a)arctan(u/a)+c

(1/. a)arctan(u/. a)+c = To simplify the expression (1/a)arctan(u/a)+c, we can start by factoring out the constant (1/a) from the arctan function To simplify the expression (1/a)arctan(u/a)+c,...