![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ad5cd828feefcf5587563fb66fcf3268.png\")
.
The general form of sine function is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8f7606e8b9e1c054cc1ed3f01967b045.png\")
.
Where ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=fbb11e84b9051b939840bf4a8a6c208d.png\")
is amplitude and period ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=127cc575e0ec6139a519f55b564f68be.png\")
.
Compare the function with general form of sine function.
\Here amplitude is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=36a3760a97bb7e148c60581fa6d9fa8c.png\")
.
The period is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=737b39c5405fb7dfcc2f5dbdd08f235b.png\")
.
Therefore, the sine wave starts from ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=186bbab1ce15e0a036879b2e2b51fb93.png\")
and completes one cycle at ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1b5fae908bdb9150c1a8589cbbed3780.png\")
and completes two cycles at ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=86ace62040991b5bf920eb7c54b375e0.png\")
.
Observe the graphs:
\The graph (A) matches to the characteristics of the function .
Hence, the graph (A) is the correct choice.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The graph (A) is the correct choice.