COMM231 Lecture 9: Trig

• School: University of Waterloo
• Department: Commerce
• Course: COMM231
• Professor: David Kohler

Document Summary

First derivative sin x cos x tan x sec x csc x cot x arcsin x arccos x arctan x arcsec x arccsc x arccot x. R \ { (k + 1/2) : k z} Sin x sec2 x sec x tan x ( , 1] [1, ) ( , 1] [1, ) csc x cot x. [ /2, 0) (0, /2] (0, ) Z sec x dx = ln | sec x + tan x| + c, Z csc x dx = ln | csc x + cot x| + c. Antiderivatives of the inverse trig functions can be derived via integration by parts. If the integral involves then substitute and use the identity a2 x2 a2 + x2 x2 a2 x = a sin x = a tan x = a sec .