SOLUTION: What is the period of the sine function if the max value is -5, the minimum value is -29, and there are consecutive minimum values when {{{x=-pi/5}}} and {{{x= 4pi/15}}}?

Algebra ->  Trigonometry-basics -> SOLUTION: What is the period of the sine function if the max value is -5, the minimum value is -29, and there are consecutive minimum values when {{{x=-pi/5}}} and {{{x= 4pi/15}}}?      Log On


   



Question 1118551: What is the period of the sine function if the max value is -5, the minimum value is -29, and there are consecutive minimum values when x=-pi%2F5 and x=+4pi%2F15?
Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The way the problem is written, you need to be able to see the forest through the trees. (Sorry if you aren't familiar with that expression.)

If all you want to know is the period, then the maximum and minimum values are irrelevant. The period is simply the distance between the two given values of x where the function has consecutive minimum values:

%284pi%2F15%29-%28-pi%2F5%29+=+%284pi%2F15%29+%2B+%283pi%2F15%29+=+7pi%2F15

The period of the function is 7pi/15.