Derivatives

Trigonometric Derivatives

A guide to the derivatives of sine, cosine, tangent, and other trig functions.

Derivatives of trigonometric functions are essential for solving problems involving periodic motion or geometry. Basic formulas include d/dx(sin x) = cos x and d/dx(cos x) = -sin x. For complex functions, these are often combined with the Chain Rule. The full table, including sec, csc, cot, and the inverse functions, is on the derivatives of trigonometric functions page.

Solve Examples with Trigonometric Derivatives

d/dx sin x →d/dx cos x →d/dx tan x →d/dx sec x →d/dx csc x →d/dx cot x →d/dx sin 2x →d/dx cos 2x →d/dx sin squared x →d/dx cos squared x →d/dx tan squared x →d/dx sinh x →d/dx cosh x →d/dx arcsin x →d/dx arccos x →d/dx arctan x →

More Calculus Topics

Chain Rule
Learn how to use the chain rule to find the derivative of composite functions.
Definite Integrals
Calculating the total accumulation or area under a curve between two limits.
Definition of Derivative
The formal limit definition that explains the concept of instantaneous rate of change.