SOLUTION: Graph two full cycles of the function. Be sure to label your axis. Y=2sin{x+pi/4}

Algebra ->  Trigonometry-basics -> SOLUTION: Graph two full cycles of the function. Be sure to label your axis. Y=2sin{x+pi/4}       Log On


   



Question 1037053: Graph two full cycles of the function. Be sure to label your axis. Y=2sin{x+pi/4}
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The 2 full cycles are +2pi+ and +4pi+
+x+%2B+pi%2F4+=+2pi+
+x+=+7%2A%28pi%2F4%29+
and
+x+%2B+pi%2F4+=+4pi+
+x+=+15%2A%28+pi%2F4+%29+
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The sin is zero at 0, pi, 2pi, 3pi, 4pi
The x-value for these y-values is:
( -pi/4, 0 )
( 7*(pi/8), 0 )
( 7*(pi/4), 0 )
( 15*(pi/8), 0 )
( 15*(pi/4), 0 )
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You can plot the 2 cycles given these
zero crossings of the function. Note that
+y+ varies from 2 to -2 instead of
1 to -1
----------------
Here'a the plot:
+graph%28+400%2C+800%2C+-4%2C+14%2C+-3%2C+3%2C+2%2Asin%28+x+%2B+pi%2F4+%29+%29+