What is the period of $f(theta) = tan ( ( 5theta)/12 )- cos ( ( theta)/ 4 )$ ?

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Answer 1 · 2016-05-24T15:40:18

$24pi$

Period of $tan ((5t)/12)$ --> $(12pi)/5$
Period of cos (t/4) --> $8pi$
Least common multiple of $((12pi)/5) and (8pi)$ --> $24pi$

$((12pi)/5) ..X.. (10) ->$ 24pi#

$(8pi)$ ...X....(3) ....--> $24pi$

Period of f(t) --> $24pi$

What is the period of f(theta) = tan ( ( 5theta)/12 )- cos ( ( theta)/ 4 ) f(theta) = tan ( ( 5theta)/12 )- cos ( ( theta)/ 4 ) ?