inverse trig functions, identites, and d/dx + integration

-sinx

d/dx cos(x)

cosx

d/dx sin(x)

sinx + c

integral of cos(x)

-cosx + c

integral of sin(x)

sec²x

d/dx of tan(x)

secxtanx

d/dx of sec(x)

-cscxcotx

d/dx of csc(x)

use sinx/cosx and u-sub

integral of tan(x)

tanx + c

integral of sec²(x)

cotx + c

integral of csc²(x)

arc tan

1/1+x²

arcsin

1/√1-x²

arc sec

1/ |x| √x²-1

1

sin²(x)+cos²(x) =

sec²x

1 + tan²(x) =

2sinxcosx

sin(2x)=

1- 2sin²x

cos(2x)

1/2( 1 - cos(2x) )

sin²(x) =

½ ( 1 + cos(2x))

cos²(x) =

secx + c

integral of secxtanx