trig derivatives

Derivative of sin(x)

cos(x)

Derivative of cos(x)

-sin(x)

Derivative of tan(x)

sec² (x)

derivative of cosecant (csc)

-cos(x) * tan(x)

derivative of sec(x)

sec(x) tan (x)

Derivative of cot(x)

-cosec²(x)

cos(x) corresponds to

X

sin(x) corresponds to

Y

cos(x)/sin(x)

cot(x)

sin(x)/cos(x)

tan(x)

Sin(x)

1/csc(x)

Cos(x)

1/sec(x)

Tan(x)

1/cot(x)

Csc(x)

1/sin(x)

Sec(x)

1/cos(x)

Cot(x)

1/tan(x)

sin^{-1}

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

\cos^{-1}(x)

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

\tan^{-1}(x)

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

\cot^{-1}(x)

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

\sec^{-1}(x)

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

\sec^{-1}(x)

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

\csc^{-1}(x)

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