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 #842008 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\"sin%5E2%28x%29\" - \"%281%2F2%29%2Asin%28x%29\" - \"1%2F2\" = 0.     Solve for   0 <= x < \"2pi\".
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document.write( "Multiply both sides of the given equation by 2.  \r\n" );
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document.write( "You will get an equivalent equation\r\n" );
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document.write( "    \"2sin%5E2%28x%29+-+sin%28x%29+-+1\" = 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    (2sin(x)+1) * (sin(x)-1) = 0.\r\n" );
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document.write( "Case 1.  2sin(x) + 1 = 0  --->  sin(x) = \"-1%2F2\"  --->  x = \"7pi%2F6%29\"  or  x = \"11pi%2F6\".\r\n" );
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document.write( "Case 2.   sin(x) - 1 = 0  --->  sin(x) = 1  --->  x = \"pi%2F2\".\r\n" );
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document.write( "ANSWER.  The set of solutions is  \"pi%2F2\",  \"7pi%2F6\"  and  \"11pi%2F6\",  in ascending order.\r\n" );
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