document.write( "Question 1010922: Avionne is having trouble with telling the similarities and differences between graphing sine and cosine functions. Explain to Avionne, in your own words, how to graph y = 3 sin 2x and y = 3 cos 2x. Be sure to explain the similarities and differences between the steps for graphing them. \n" ); document.write( "

Algebra.Com's Answer #626663 by josmiceli(19441) $\"\"$ $\"About$

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Any cosine or sine will vary between +1 and -1
\n" ); document.write( "These 2 functions multiply the sine and cosine by $\"+3+\"$ ,
\n" ); document.write( "so they will vary between +3 and -3
\n" ); document.write( "-------------------------------
\n" ); document.write( "If I say $\"+2x+=+theta+\"$ , then I have:
\n" ); document.write( " $\"+y+=+3%2Asin%28+theta+%29+\"$ and
\n" ); document.write( " $\"+y+=+3%2Acos%28+theta+%29+\"$
\n" ); document.write( " $\"+theta+\"$ varies between $\"+0+\"$ and $\"+2%2Api+\"$ ,
\n" ); document.write( "so $\"+2x+=+2%2Api+\"$
\n" ); document.write( " $\"+x+=+pi+\"$
\n" ); document.write( " $\"+x+\"$ will vary between $\"0\"$ and $\"+pi+\"$
\n" ); document.write( "for each cycle
\n" ); document.write( "---------------
\n" ); document.write( "Also, the cosine is symmetrical about the y-axis
\n" ); document.write( "and the sine is not symmetrical \n" ); document.write( "

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