(Solved): 2. Let E Be A Real Number And Consider [ Cos(0) Sin(0) A = 1 - Sin(e) Cos(@)] (a) Verify That A Is I ...
2. Let e be a real number and consider [ cos(0) sin(0) A = 1 - sin(e) cos(@)] (a) Verify that A is in 0(R) by checking conditions 1 and 3 of The orem 3.8.7. (b) Using induction, prove that cos(n6) sin(ne) A" - -sin(no) cos(no) for all n = 1,2,3,.... (c) For which values of e does A have finite order in 0(R)?