document.write( "Question 756390: what is the solution set of all angles in [0,2pi)\r
\n" ); document.write( "\n" ); document.write( "4 cos^2x-3=0\r
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\n" ); document.write( "\n" ); document.write( "5 sec^2x-20=0\r
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\n" ); document.write( "\n" ); document.write( "2 cos^2 x-sin x-1=0
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Algebra.Com's Answer #460173 by stanbon(75887)\"\" \"About 
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what is the solution set of all angles in [0,2pi)
\n" ); document.write( "4 cos^2x-3=0
\n" ); document.write( "cos^2(x) = 3/4
\n" ); document.write( "cos(x) = sqrt(3)/2
\n" ); document.write( "x = pi/3 or x = (5/6)pi
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\n" ); document.write( "5 sec^2x-20=0
\n" ); document.write( "sec^2(x) = 4
\n" ); document.write( "sec(x) = +2 or -2
\n" ); document.write( "x = pi/6 or (11/6)pi or (5/6)pi or (7/6)pi
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\n" ); document.write( "2 cos^2 x-sin x-1=0
\n" ); document.write( "2(1-sin^2(x)) - sin(x) - 1 = 0
\n" ); document.write( "-2sin^2(x) - sin(x) + 1 = 0
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\n" ); document.write( "2sin^2(x) + sin(x) - 1 = 0
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\n" ); document.write( "(2sin(x)-1)(sin(x)+1) = 0
\n" ); document.write( "sin(x) = 1/2 or sin(x) = -1
\n" ); document.write( "x = pi/6 or (5/6)pi or (3/2)pi
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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