MAT 212 Lecture Notes - Lecture 9: Trigonometric Functions
Document Summary
6. 2 trigonometric integrals and substitutions notes: sterling. Provide a generalization to each of the key terms listed in this section. Major identities sin2 (x) + cos2 (x) = 1. Common identities sin = cos = tan = 1 sin cos csc = sec = cot = 1 tan sin ( x) = sin (x) cos ( x) = cos (x) tan ( x) = tan (x) Even-odd identities csc ( x) = csc (x) sec ( x) = sec (x) cot ( x) = cot (x) P ythagorean sin2 (x) + cos2 (x) = 1. Equivalent sin2 (x) = 1 cos2 (x) cos2 (x) = 1 sin2 (x) 1 = csc2 (x) cot2 (x) sin2 (x) + cos2 (x) = csc2 (x) cot2 (x) cot2 (x) = csc2 (x) 1. = 3 r cos2 (x) cos (x) dx. = 3 r (cid:0)1 sin2 (x)(cid:1) cos (x) dx u = sin(x) du = cos(x)dx.
