document.write( "Question 1057643: solve exactly over 0 ° ≤ θ < 360° : 4cos^2θ - 4sinθ =5 \n" ); document.write( "
Algebra.Com's Answer #672696 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "solve exactly over 0 ° ≤ θ < 360° : 4cos^2θ - 4sinθ =5
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "\"4cos%5E2%28theta%29+-+4%2Asin%28theta%29\" = 5.\r\n" );
document.write( "\r\n" );
document.write( "Replace \"cos%5E2%28theta%29\" by \"1-sin%5E2%28theta%29\" to make the equation uniform for \"sin%28theta%29\". You will get\r\n" );
document.write( "\r\n" );
document.write( "\"4%2A%281-sin%5E2%28theta%29%29+-+4%2Asin%28theta%29\" = 5,   or\r\n" );
document.write( "\r\n" );
document.write( "\"4%2Asin%5E2%28theta%29+%2B+4%2Asin%28theta%29+%2B+1\" = 0,   or\r\n" );
document.write( "\r\n" );
document.write( "\"%282%2Asin%28theta%29+%2B+1%29%5E2\" = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then\r\n" );
document.write( "\r\n" );
document.write( "\"2%2Asin%28theta%29+%2B+1\" = 0  --->  \"sin%28theta%29\" = \"-1%2F2\"  --->  \"theta\" = 210°  OR  \"theta\" = 330°.\r\n" );
document.write( "\r\n" );
document.write( "Answer.  \"theta\" = 210°  OR  \"theta\" = 330°.\r\n" );
document.write( "

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