document.write( "Question 1205297: Solve the equation https://gyazo.com/9c9598aa5e71b13cfbae900cfcb97636 (equation picture link) where 0≤x≤2π \n" ); document.write( "

Algebra.Com's Answer #842007 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " $\"sin%5E2%28x%29-%281%2F2%29sin%28x%29-1%2F2=0\"$ ....both sides multiply by $\"2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2sin%5E2%28x%29-sin%28x%29-1=0\"$ ...replace $\"sin%28x%29\"$ with $\"u\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2u%5E2-u-1=0\"$ ...factor\r
\n" ); document.write( "\n" ); document.write( " $\"%282+u+%2B+1%29+%28u+-+1%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( " $\"%282+u+%2B+1%29+=0\"$ => $\"u=-1%2F2\"$
\n" ); document.write( " $\"%28u+-+1%29=0\"$ => $\"u=1\"$ \r
\n" ); document.write( "\n" ); document.write( "replace $\"u\"$ with $\"sin%28x%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"sin%28x%29=-1%2F2\"$
\n" ); document.write( " $\"sin%28x%29=1\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=sin%5E-1%28-1%2F2%29\"$ => $\"x=-pi%2F6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=sin%5E-1%281%29+\"$ => $\"x=pi%2F2\"$ \r
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\n" ); document.write( "\n" ); document.write( "solutions in given interval $\"0+%3C=+x+%3C=+2pi\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+pi%2F2\"$ => $\"x=90\"$ ° \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%287pi%29%2F6\"$ => $\"x=210\"$ ° \r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%2811pi%29%2F6+\"$ => $\"x=330\"$ ° \r
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