# 3.5 | The Trigonometric Functions

Trigonometric Differentiation Rules:

• $$\displaystyle \frac{d}{dx}[\sin x] = \cos x$$
• $$\displaystyle \frac{d}{dx}[\csc x] = -\csc x \cot x$$
• $$\displaystyle \frac{d}{dx}[\cos x] = -\sin x$$
• $$\displaystyle \frac{d}{dx}[\sec x] = \sec x \tan x$$
• $$\displaystyle \frac{d}{dx}[\tan x] = \sec^2 x$$
• $$\displaystyle \frac{d}{dx}[\cot x] = -\csc^2 x$$