Trigonometric function help

Main Question or Discussion Point

f(x)= sin 3x - (1/2)sin x, find the period.

i know the period for sin 3x is 2pi/3 and the period of sin x is 2pi but how do you subtract these? I totally forget how to do this! I mean i could find the answer with any graphing program but i want to know how to do this type of problem.
 

Answers and Replies

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asatru jesus said:
f(x)= sin 3x - (1/2)sin x, find the period.

i know the period for sin 3x is 2pi/3 and the period of sin x is 2pi but how do you subtract these? I totally forget how to do this! I mean i could find the answer with any graphing program but i want to know how to do this type of problem.
Go with the greater value (period). Can you see why?
 
HallsofIvy
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Why subtract them? The two functions will both repeat when you reach the least common multiple of their separate periods. Here, it should be obvious that [tex]2\pi[/tex] is a multiple of [tex]\frac{2\pi}{3}[/tex].
 

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