document.write( "Question 984271: How many solutions does cos(4x) = .4 have? Please explain how to do this problem? \n" ); document.write( "
Algebra.Com's Answer #605057 by Cromlix(4381)\"\" \"About 
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Hi there,
\n" ); document.write( "The original two solutions for
\n" ); document.write( "cos(4x) = 0.4
\n" ); document.write( "= 66.4 and 293.6 (360 - 66.4)
\n" ); document.write( "Because you have 4x after the cos
\n" ); document.write( "then 360 degrees must be added to
\n" ); document.write( "66.4 and 293.6 three times.
\n" ); document.write( "Therefore:
\n" ); document.write( "4x = 66.4, 293.6, 426.4, 653.6,
\n" ); document.write( "786.4, 1013.6, 1146.4, 1373.6.
\n" ); document.write( "Now to find what 'x' =
\n" ); document.write( "Divide each of the solutions by 4
\n" ); document.write( "x = 16.6, 73.4, 106.6, 163.4,
\n" ); document.write( "196.6, 253.4, 286.6, 343.4.
\n" ); document.write( "You would give these solutions
\n" ); document.write( "for 0 < x < 360.
\n" ); document.write( "Hope this helps you. :-)
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