Trigonometric Differentiation Rules:
- \( \displaystyle \frac{d}{dx}[\sin x] = \cos x\)
- \( \displaystyle \frac{d}{dx}[\csc x] = -\csc x \cot x\)
- \( \displaystyle \frac{d}{dx}[\cos x] = -\sin x\)
- \( \displaystyle \frac{d}{dx}[\sec x] = \sec x \tan x\)
- \( \displaystyle \frac{d}{dx}[\tan x] = \sec^2 x\)
- \( \displaystyle \frac{d}{dx}[\cot x] = -\csc^2 x\)