document.write( "Question 998480: please help me with the question: sin x=1 - cos x \n" ); document.write( "
Algebra.Com's Answer #616250 by ikleyn(52798)\"\" \"About 
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\n" ); document.write( "please help me with the question: sin x=1 - cos x
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\n" ); document.write( "\n" ); document.write( "Hey,  this is not a question.  It is an equation.\r
\n" ); document.write( "\n" ); document.write( "If you want to solve it,  say  \"Please help me solve this equation\".\r
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\n" ); document.write( "\n" ); document.write( "OK,  let's solve it.\r
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\n" ); document.write( "\n" ); document.write( "sin(x) = 1 - cos(x).\r
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\n" ); document.write( "\n" ); document.write( "In the left side,  replace  sin(x) = \"sqrt%281-cos%5E2%28x%29%29\" to get the equation for one uniform unknown  cos(x):\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%281-cos%5E2%28x%29%29\" = \"1+-+cos%28x%29\",   ---> square both sides --->\r
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\n" ); document.write( "\n" ); document.write( "\"1+-+cos%5E2%28x%29\" = \"1+-+2%2Acos%28x%29+%2B+cos%5E2%28x%29\",\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Acos%5E2%28x%29+-+2%2Acos%28x%29\" = \"0\",\r
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\n" ); document.write( "\n" ); document.write( "\"2%2Acos%28x%29\".\"%28cos%28x%29-1%29\" = \"0\",\r
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\n" ); document.write( "\n" ); document.write( "a)  cos(x) = 0   ----->  x = \"pi%2F2+%2B+k%2Api\",  k = 0, +/-1, +/-2, . . . \r
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\n" ); document.write( "\n" ); document.write( "b)  cos(x) = 1 ----->   x = \"k%2Api\",  k = 0, +/-1, +/-2, . . . \r
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