Question: LECTURE # 13 : The product The crew. Set up: fans i dbasnzo associated Series : an $ 2 br , A: = 2 an

LECTURE # 13 : The product The crew. Set up: fans i dbasnzo associated Series : an $ 2 br , A: = 2 an ? B. = Ebn nao Assume they both converge ? are of them ( ey Znzo "an ) converges ABSOLUTELY. Defined On : = = aj by-j = Zaibj itjen 2 cn = A. B. noProblem 1. Use the product theorem from Lecture 13 to prove: (1) cos?(f) + sin?(f) = 1 (2) sin(a + B) = sin(a) cos(B) + cos(a) sin(5) (3) cos(a + B) = cos(a) cos(B) sin(a) sin(f)

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