SOLUTION: Find the amplitude, period and phase shift of the function, and graph one complete period. Y= 1 + COS(3X+pi/2)

Algebra ->  Trigonometry-basics -> SOLUTION: Find the amplitude, period and phase shift of the function, and graph one complete period. Y= 1 + COS(3X+pi/2)      Log On


   

Question 691536: Find the amplitude, period and phase shift of the function, and graph one complete period.
Y= 1 + COS(3X+pi/2)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The period can start at +cos%28+3x+%2B+pi%2F2+%29+=+1+
which would be at +y+=+1+%2B+0+
+cos%28+3x+%2B+pi%2F2+%29+=+1+
+3x+%2B+pi%2F2+=+0+
+3x+=+-pi%2F2+
+x+=+-pi%2F6+
-------------
The period ends at +cos%28+3x+%2B+pi%2F2+%29+=+1+ again
when +3x+%2B+pi%2F2+=+2%2Api+ (1 period)
+3x+=+2%2Api+-+pi%2F2+
+3x+=+%283%2Api%29%2F2+
+x+=+pi%2F2+
------------
Here's a plot of the function: