Trig Derivative Rules

sin(x)

cos(x)

cos(x)

-sin(x)

tan(x)

sec²(x)

csc(x)

-csc(x)cot(x)

sec(x)

sec(x)tan(x)

cot(x)

-csc²(x)

sin^-1(x)

\frac{1}{\sqrt{1-x^2}}

cos^-1(x)

-\frac{1}{\sqrt{1-x^2}}

tan^-1(x)

\frac{1}{1+x^2}

csc^-1(x)

-\frac{1}{\left\vert x\right\vert\sqrt{x^2-1}}

sec^-1(x)

\frac{1}{\left\vert x\right\vert\sqrt{x^2-1}}

cot^-1(x)

-\frac{1}{1+x^2}