document.write( "Question 427310: 1/2cosx cannot equal cos1/2X
\n" ); document.write( "Discuss how the 1/2 part affects the graphs of y=1/2cosx and y=cos1/2x\r
\n" ); document.write( "\n" ); document.write( "I dont understand what each 1/2 does.
\n" ); document.write( "

Algebra.Com's Answer #297173 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Discuss how the 1/2 part affects the graphs of y=1/2cosx and y=cos1/2x
\n" ); document.write( "----
\n" ); document.write( "In the form y = acos(bx) the a determines the amplitude;
\n" ); document.write( "the b determines the period.
\n" ); document.write( "---
\n" ); document.write( "Your Problem:
\n" ); document.write( "y = (1/2)cos(x)
\n" ); document.write( "The amplitude of the cos is normally \"1\".
\n" ); document.write( "Because of the !/2 the amplitude will be \"1/2\".
\n" ); document.write( "-----
\n" ); document.write( "y = cos((1/2)x)
\n" ); document.write( "The period of the cos is normally 2pi
\n" ); document.write( "Because of the 1/2 the period = (2pi)/(1/2) = 4pi
\n" ); document.write( "====================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==========
\n" ); document.write( "
\n" );