The list of all the Derivatives of Trigonometric functions.

Derivatives of Trigonometric Functions

The following are the derivatives of trigonometric functions whose argument is x, and the differentiation is with respect to x.

• (d/dx) sin(x) == cos(x)
• (d/dx) cos(x) == -sin(x)
• (d/dx) tan(x)= sec^2 (x)
• (d/dx) csc(x) == -csc(x)*cot(x)
• (d/dx) sec(x) == sec(x)*tan(x)
• (d/dx) cot(x)= -csc^2 (x)

Derivatives of Inverse Trigonometric Functions

The following are the derivatives of inverse trigonometric functions whose argument is x, and the differentiation is with respect to x.

• (d/dx) sin^-1(x) == (1/sqrt(1-x^2))
• (d/dx) cos^-1(x) == -(1/sqrt(1-x^2))
• (d/dx) tan^-1(x) == (1/(1+x^2))
• (d/dx) csc^-1(x) == -(1/(abs(x) sqrt(x^2 -1)))
• (d/dx) sec^-1(x) == (1/(abs(x) sqrt(x^2 -1)))
• (d/dx) cot^-1(x) == -(1/(1+x^2))