document.write( "Question 367702: Find all solutions of the equation 3sin^2(x)−7sinx+2=0 in the interval [0,2pi) \n" ); document.write( "
Algebra.Com's Answer #262108 by Alan3354(69443)\"\" \"About 
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Find all solutions of the equation 2sin^2(x)−cosx=1 in the interval [0,2pi)
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\n" ); document.write( "sin^2 = 1-cos^2
\n" ); document.write( "--> 2(1-cos^2) - cos - 1 = 0
\n" ); document.write( "2 - 2cos^2 - cos - 1 = 0
\n" ); document.write( "2cos^2 + cos - 1 = 0
\n" ); document.write( "Sub y for cos
\n" ); document.write( "2y^2 + y - 1 = 0
\n" ); document.write( "(2y - 1)*(y + 1) = 0
\n" ); document.write( "y = cos(x) = -1
\n" ); document.write( "x = pi
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\n" ); document.write( "y = cos(x) = 1/2
\n" ); document.write( "x = pi/3, 5pi/3
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