Trigonometric function help

  • #1
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

  • #2
665
0
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?
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,833
956
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].
 

Related Threads on Trigonometric function help

  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
1
Views
620
  • Last Post
Replies
5
Views
1K
Replies
5
Views
4K
  • Last Post
Replies
3
Views
7K
Replies
4
Views
21K
Replies
4
Views
2K
Replies
9
Views
828
Replies
7
Views
8K
Top