List of trig derivatives

Original

Derivative

sinx

cosx

cosx

-sinx

tanx

sec²x

cotx

-csc²x

secx

secxtanx

cscx

-cscxcotx

Memory tricks:

-All the derivatives with c have a negative value (cosine, cotangent, and cosecant).

-Sine and cosine are best friends in calculus.

-Tangent and secant are best friends in calculus

Inverse Trig Derivatives

Original

Derivative

sin^-1(x)

1/√1-x²

cos^-1(x)

-1/√1-x²

tan^-1(x)

1/√1+x²

cot^-1(x)

-1/√1+x²

sec^-1(x)

1/x√x²-1

csc^-1(x)

-1/x√x²-1

Memory tricks:

Sine and cosine are best friends.

All of the functions with c are negative.