Trigonometric Identities and Integrals

cscx =

1/sinx

secx =

1/cosx

tanx =

sinx/cosx

cotx =

cosx/sinx

tan²x =

sec²x-1

sin²x =

1-cos²x

cos²x =

1-sin²x

csc²x =

1+cot²x

cot²x =

csc²x-1

sinxcosx =

(sin2x)/2

cos2x =

cos²x-sin²x

∫sinx dx =

-cosx+C

∫sec²x dx =

tanx+C

∫secxtanx dx =

secx+C

∫secx dx =

ln|secx+tanx|+C

∫tanx dx =

ln|secx|+C

∫cosx dx =

sinx+C

∫csc²x dx =

−cotx+C

∫cscxcotx dx

-cscx+C

∫cscx dx =

ln|cscx−cotx|+C

∫cotx dx =

ln|sinx|+C

(HALF ANGLE) sin²x =

(1-cos2x)/2

(HALF ANGLE) cos²x =

(1+cos2x)/2