Please solve 4 a and b , don't mind the title page in the middle of the picture

4. Let 0 and o be real numbers, and let A and B be the matrices A = cos(0) sin(0) cos(p) sin(d) - sin(0) cos(0) B = - sin($) cos(d) (a) Show that AB = cos(0 + $) sin(0 + 4) - sin(0 + $) cos(0 + $) You may use the identities at the end of this file. (You don't need to use all of them.) UNIVERSITY OF MANITOBA Second Assignment COURSE: MATH 1210 DURATION: Oct 13 - Oct 22 DATE & TIME: October 22, 5pm EXAMINER: Kristel/Comincho/Moghaddam PAGE: 2 of 2 (b) Use induction on n to prove that, for all integers n > 1, we have An cos(no) sin(no) sin(no) cos(ne) Recall that A" = AAA n times