document.write( "Question 1036384: Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. \r
\n" ); document.write( "\n" ); document.write( "r = 4 cos 5θ
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Algebra.Com's Answer #651119 by robertb(5830)\"\" \"About 
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The graph is symmetric wrt to the x-axis if \"r%28theta%29+=+r%28-theta%29\".\r
\n" ); document.write( "\n" ); document.write( "Since \"4cos%285%2Atheta%29+=+4cos%28-5%2Atheta%29\", the graph is symmetric wrt the x-axis.\r
\n" ); document.write( "\n" ); document.write( "The graph is symmetric wrt the y-axis if \"r%28theta%29+=+r%28pi-theta%29\".\r
\n" ); document.write( "\n" ); document.write( "Since \"4cos%285%2Atheta%29+%3C%3E+4cos%285%2A%28pi+-+theta%29%29+=+-4cos%285%2Atheta%29+\", the graph is not symmetric wrt the y-axis.\r
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\n" ); document.write( "\n" ); document.write( "The graph is symmetric wrt the y-axis if \"r%28theta%29+=+r%28pi%2Btheta%29\".\r
\n" ); document.write( "\n" ); document.write( "Since \"4cos%285%2Atheta%29+%3C%3E+4cos%285%2A%28pi+%2B+theta%29%29+=+-4cos%285%2Atheta%29+\", the graph is not symmetric wrt the origin.
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