document.write( "Question 1056628: Please help me solve this question: Find all solutions for 2/3Sin^2-cosx=1 on the interval (0,2pi) \n" ); document.write( "
Algebra.Com's Answer #671706 by stanbon(75887)\"\" \"About 
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Find all solutions for (2/3)Sin^2-cosx=1 on the interval (0,2pi)
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\n" ); document.write( "(2/3)(1-cos^2(x)) - cos(x) = 1
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\n" ); document.write( "(2/3) - (2/3)cos^2(x) - cos(x) = 1
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\n" ); document.write( "2 - 2cos^2(x) - 3cos(x) = 3
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\n" ); document.write( "2cos^2(x) + 3cos(x) + 1 = 0
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\n" ); document.write( "(2cos(x) + 1)(cos(x)+1) = 0
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\n" ); document.write( "cos(x) = -1/2 Or cos(x) = -1
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\n" ); document.write( "x = (2/3)pi or x = (4/3)pi or x = pi
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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