document.write( "Question 1068189: Solve 3tan^2θ + 1 = 4tanθ for all positive angles less than 360°.\r
\n" ); document.write( "\n" ); document.write( "Give answers in increasing order. All values should be in degrees. Round to the nearest degree. \n" ); document.write( "

Algebra.Com's Answer #683388 by ikleyn(52809) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Solve 3tan^2θ + 1 = 4tanθ for all positive angles less than 360°.\r
\n" ); document.write( "\n" ); document.write( "Give answers in increasing order. All values should be in degrees. Round to the nearest degree.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( " =   --->\r\n" );
document.write( "\r\n" );
document.write( " = 0  ---->  (factor the left side)  --->\r\n" );
document.write( "\r\n" );
document.write( "(-3tan(theta)+1)*(-tan(theta)+1) = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "This equation deploys in two independent equations:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "1)   = 0  --->   = 1  --->   =   --->  \r\n" );
document.write( "\r\n" );
document.write( "     Two solutions of this equation are  \r\n" );
document.write( "\r\n" );
document.write( "         a)   =  = 0.32175 radians = 18.444 degrees,  and\r\n" );
document.write( "\r\n" );
document.write( "         b)  =  = 180 degs + 18.444 degs = 198.444 degs\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2)   = 0  --->   = 1    \r\n" );
document.write( "\r\n" );
document.write( "     Two solutions of this equation are  \r\n" );
document.write( "\r\n" );
document.write( "         a)   = 45 degrees,  and\r\n" );
document.write( "\r\n" );
document.write( "         b)  = 180 degs + 45 degs = 225 degs.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  18.444 degs, 45 degs, 198.44 degs nd 225 degs.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );