document.write( "Question 610983: Solve algebraically for all values of theta in the interval 0 degrees is < or equal to theta which is < 360 degrees. Express your answers to the nearest degree.\r
\n" ); document.write( "\n" ); document.write( "2sin^2 theta-4sin theta = cos ^2 theta-2
\n" ); document.write( "

Algebra.Com's Answer #384785 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Solve algebraically for all values of theta in the interval 0 degrees is < or equal to theta which is < 360 degrees. Express your answers to the nearest degree.
\n" ); document.write( "2sin^2 theta-4sin theta = cos ^2 theta-2
\n" ); document.write( "**
\n" ); document.write( "2sin^2x-4sinx=cos^2x-2
\n" ); document.write( "2sin^2x-4sinx=1-sin^2x-2
\n" ); document.write( "3sin^2x-4sinx+1=0
\n" ); document.write( "(3sinx-1)(sinx-1)=0
\n" ); document.write( "..
\n" ); document.write( "3sinx-1=0
\n" ); document.write( "sinx=1/3
\n" ); document.write( "x≈19º
\n" ); document.write( "or
\n" ); document.write( "sinx-1=0
\n" ); document.write( "sinx=1
\n" ); document.write( "x=90º
\n" ); document.write( "ans:
\n" ); document.write( "Theta≈19º and =90º
\n" ); document.write( "
\n" );