document.write( "Question 1178160: Solve the equation for solutions in the interval 0 ≤ x < 2𝜋. Round approximate solutions to the nearest ten-thousandth. \r
\n" ); document.write( "\n" ); document.write( "4 sin^3 x = sin x \n" ); document.write( "

Algebra.Com's Answer #807342 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"4sin%5E3+%28x%29+=+sin+%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4sin%5E3+%28x%29%2Fsin+%28x%29+=+sin+%28x%29%2Fsin+%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4sin%5E2+%28x%29+=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sin%5E2+%28x%29+=+1%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sin%28x%29+=+sqrt%281%2F4%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sin%28x%29+=+1%2F2\"$ or $\"sin%28x%29+=+-1%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( "since given the interval $\"+0+%3C=+x+%3C+2pi\"$ , go with positive solution sine is positive in quadrants I and II only \r
\n" ); document.write( "\n" ); document.write( " $\"sin%28x%29+=+1%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=sin%5E-1%281%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions in radians:
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( " $\"x=pi=+3.14159\"$ ->rounded to the nearest ten-thousandth
\n" ); document.write( " $\"x=7pi%2F6=+3.66519+\"$
\n" ); document.write( " $\"x=11pi%2F6=5.75959\"$
\n" ); document.write( " $\"x=pi%2F6=0.52360+\"$
\n" ); document.write( " $\"x=5pi%2F6=2.61799\"$ \r
\n" ); document.write( "\n" ); document.write( "solutions in degrees:
\n" ); document.write( " $\"x=0\"$ °
\n" ); document.write( " $\"x=180\"$ °
\n" ); document.write( " $\"x=210\"$ °
\n" ); document.write( " $\"x=330\"$ °
\n" ); document.write( " $\"x=30\"$ °
\n" ); document.write( " $\"x=150\"$ °
\n" ); document.write( "
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