document.write( "Question 1167513: solve:
\n" ); document.write( "3cot^2 3x+1=5csc3x \n" ); document.write( "
Algebra.Com's Answer #792111 by Alan3354(69443)\"\" \"About 
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solve:
\n" ); document.write( "3cot^2 3x+1=5csc3x
\n" ); document.write( "-------------
\n" ); document.write( "Is it cot^2(3x) + 1 ?
\n" ); document.write( "or cot^2(3x+1) ?
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\n" ); document.write( "3cot^2(3x) + 1 = 5csc(3x)
\n" ); document.write( "Multiply by sin^2(3x)
\n" ); document.write( "3cos^2(3x) + sin^2(3x) = 5sin(3x)
\n" ); document.write( "Sub (1 - sin^2(3x)) for cos^2(3x)
\n" ); document.write( "3(1 - sin^2(3x)) + sin^2(3x) = 5sin(3x)
\n" ); document.write( "3 - 3sin^2(3x) + sin^2(3x) = 5sin(3x)
\n" ); document.write( "2sin^2(3x) + 5sin(3x) - 3 = 0
\n" ); document.write( "Sub y for sin(3x)
\n" ); document.write( "2y^2 + 5y - 3 = 0
\n" ); document.write( "(2y-1)*(y+3) = 0
\n" ); document.write( "y = 1/2
\n" ); document.write( "sin(3x) = 1/2
\n" ); document.write( "3x = pi/6, 11pi/6 + n*2pi -- n = any integer
\n" ); document.write( "x = pi/18, 11pi/18 + n*2pi/3
\n" ); document.write( "==================================
\n" ); document.write( "y = -3
\n" ); document.write( "sin(3x) = -3 --- no real solution
\n" ); document.write( "x is a complex number, probably not in the scope of the class.\r
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