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)![]() ![]() You can put this solution on YOUR website! 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. :-) \n" ); document.write( " |