Calculus Derivatives Of Sine, Cosine And Tangent Functions
Hi there. In this math post I provide an overview of the calculus derivatives of sine, cosine and tangent functions. A (semi-rigorous) proof of the tangent derivative is provided here.
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Topics
- Derivatives Of Sine, Cosine And Tangent Functions
- Deriving The Derivative Of The Tangent Functions From Cosine And Sine
Derivatives Of Sine, Cosine And Tangent Functions
Given an independent variable (or angle) of x , the calculus derivatives of sine and cosine are:
For the tangent function, its derivative is:
Deriving The Derivative Of The Tangent Functions From Cosine And Sine
Before we get into the proof of deriving the derivative of the tangent function, a review of trigonometric identities, product rule and quotient rule is needed.
Two Key Trigonometric Identities
Product Rule
Quotient Rule
Deriving The Tangent Function Derivative With The Quotient Rule
Deriving The Tangent Function Derivative With The Product Rule
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