calc trig formulas

csc(x)

1/sin(x)

sec(x)

1/cos(x)

cot(x)

cos(x)/sin(x)

cos²(x)+sin²(x)

1

sec²(x)-tan²(x)

1

csc²(x)-cot²(x)

1

sin(a+b)

sin(a)cos(b)+cos(a)sin(b)

cos(a+b)

sin(a)sin(b)+cos(a)cos(b)

tan(a+b)

(tan(a)+tan(b))/(1-tan(a)tan(b))

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

sec²(x)

d/dx csc(x)

-cot(x)csc(x)

d/dx sec(x)

tan(x)sec(x)

d/dx cot(x)

-csc²(x)

d/dx arcsin(x)

1/sqrt(1-x²)

d/dx arccos(x)

-1/sqrt(1-x²)

d/dx arctan(x)

1/(1+x²)

d/dx arccsc(x)

-1/|x|sqrt(x²-1)

d/dx arcsec(x)

1/|x|sqrt(x²-1)

d/dx arccot(x)

-1/(x²+1)