document.write( "Question 629318: Solve the given equation cos2theta= 3sintheta-1 \n" ); document.write( "

Algebra.Com's Answer #396207 by Alan3354(69443) $\"\"$ $\"About$

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Solve the given equation cos2theta= 3sintheta-1
\n" ); document.write( "-----------
\n" ); document.write( "cos(2t) = 3sin(t) - 1
\n" ); document.write( "1 - 2sin^2(t) = 3sin(t) - 1
\n" ); document.write( "2sin^2(t) + 3sin(t) - 2 = 0
\n" ); document.write( "Sub x for sin(t)
\n" ); document.write( " $\"2x%5E2+%2B+3x+-+2+=+0\"$
\n" ); document.write( "x = -3/4 ą 5/4
\n" ); document.write( "x = -2
\n" ); document.write( "No real number solution
\n" ); document.write( "----------
\n" ); document.write( "x = 1/2
\n" ); document.write( "sin(t) = 1/2
\n" ); document.write( "theta = pi/6 + 2n*pi, n = 0,1,2,3...
\n" ); document.write( "theta = 5pi/6 + 2n*pi, n = 0,1,2,3...
\n" ); document.write( " \n" ); document.write( "

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