d/dx sin x

cos x

d/dx cos x

- sin x

d/dx tan x

sec^2 x

d/dx csc x

- csc x cot x

d/dx sec x

sec x tan x

d/dx cot x

- csc^2 x

ln (a/b)

ln (a) - ln (b)

ln (a . b)

ln (a) + ln (b)

ln (a^b)

b ln ^a

tan theta

sin/cos

cot theta

cos/sin

sin theta

1 / csc

cos theta

1 / sec

tan theta

1 / cot