19. (a) Let t be a real number such that sin - - # 0 and...

 

 

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19. (a) Let t be a real number such that sin - - # 0 and let n be a positive integer. Show that sin kt cos-cos (n+) k=1 t 2 sin Hint: It may be helpful to first consider the sum K-12 sin kt sin. (b) Hence for each a > 0, evaluate from the definition of a Riemann integral. sint d sint dt Save as Image 19. (a) Let t be a real number such that sin - - # 0 and let n be a positive integer. Show that sin kt cos-cos (n+) k=1 t 2 sin Hint: It may be helpful to first consider the sum K-12 sin kt sin. (b) Hence for each a > 0, evaluate from the definition of a Riemann integral. sint d sint dt Save as Image