Question

4. a. Can you simplify the sum of the two leading terms to remove the angle parts: 22 cos? (0) arz + sin() arz =? Hint: it's really easy-what is the simplest trig identity you know? (5 pts) b. Now let's deal with these two "middle" terms. We can show that if you add them together then: How? Let's start by acting Y(r).() on the first term above: - (inco)cosapopt(cos(m)opsin cm) - k - (sin(e) cos() 0400:46 = - (sinca..cos(m)cm) Styling Can you show that the expression above can be simplified to: (5 pts) (r) (sin() cos(Q)2(o) 04(r) C ) 09 Or c. Likewise show that the second term in pt. b reduces to: (5 pts) (cos()) a a(r). 4 ) cos? (0) a(r) cos(o) sin() 04() a(r) ar до де in до ar d. Now can you show that: Fin@) . cosco) + (cos(cmsin(w LYC: 4(x) = 1.090) (P) Or Hint: for pt. b&c use the product rule. (5 pts)

Answer 1

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