Standard derivatives of trigonometric functions (d/dx(sin x)=cos x, d/dx(cos x)=−sin x, d/dx(tan x)=sec²x)

jee-mainjee-advanced

d/dx(sin x)=cos x, d/dx(cos x)=−sin x, d/dx(tan x)=sec²x, d/dx(cot x)=−csc²x, d/dx(sec x)=sec x tan x, d/dx(csc x)=−csc x cot x

What each symbol means

SymbolWhat it stands for
xAngle in radians

When to use this

x must be in the domain of each function (tan x, sec x exclude odd multiples of π/2; cot x, csc x exclude multiples of π).