What is the period of f(theta) = tan ( ( 17 theta)/7 )- cos ( ( theta)/ 6 ) ?

1 Answer
Nghi N.
May 30, 2018

84pi

Explanation:

Period of tan((17pi)/7) --> (7(pi))/17
Period of cos (t/6) ---> 6(2pi) = 12pi
Period of f(t) is least common multiple of 12pi and (7pi)/17.

(7pi)/17 ..... x (17)(12) ... --> 84pi
12pi...............x (5) ....... --> 84pi

Period of f(t) is 84pi

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