If the individual periods of two trigonometric functions are 4pi and 6pi, the period of the combination of these two functions will be?
a) 6pi
b) 8pi
c) 12pi
d) 24pi
show work how you got the answer
thanks
a) 6pi
b) 8pi
c) 12pi
d) 24pi
show work how you got the answer
thanks
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Here are the multiples of pi where the first function repeats:
0, 4, 8, 12, 16, 20, 24, 28, ... etc (multiples of 4)
Here are the multiples of pi where the 2nd function repeats:
0, 6, 12, 18, 24, 30, 36, ... (multiples of 6).
You're looking for a number which is a multiple of both. Just look at the lists. What's the first number that occurs in both? (Besides 0).
In general, you want a number that's a multiple of both. You want the least such number. In other words, the LEAST COMMON MULTIPLE, a concept which I'm sure you've seen before.
0, 4, 8, 12, 16, 20, 24, 28, ... etc (multiples of 4)
Here are the multiples of pi where the 2nd function repeats:
0, 6, 12, 18, 24, 30, 36, ... (multiples of 6).
You're looking for a number which is a multiple of both. Just look at the lists. What's the first number that occurs in both? (Besides 0).
In general, you want a number that's a multiple of both. You want the least such number. In other words, the LEAST COMMON MULTIPLE, a concept which I'm sure you've seen before.