document.write( "Question 166485: Use the angle sum or difference identity to find the exact value of
\n" ); document.write( "cos195\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "csc5pi/12 \n" ); document.write( "

Algebra.Com's Answer #122707 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the angle sum or difference identity to find the exact value of
\n" ); document.write( "cos195
\n" ); document.write( "

\r\n" );
document.write( "You have to figure out a way to make 195° using \r\n" );
document.write( "the sum or difference of two special angles from this list:\r\n" );
document.write( "\r\n" );
document.write( "30°, 45°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, \r\n" );
document.write( "225°, 240°, 270°, 300°, 315°, 330°.\r\n" );
document.write( "\r\n" );
document.write( "You can write 195° as any one of these:\r\n" );
document.write( "\r\n" );
document.write( "150°+45°, 135°+60°, 225°-30°, 240°-45°, 315°-120°, 330°-135°\r\n" );
document.write( "\r\n" );
document.write( "If you choose to use the first one, 150°+45°, you then use\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "--------------------------------\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let's convert that to degrees:\r\n" );
document.write( "\r\n" );
document.write( "°\r\n" );
document.write( "\r\n" );
document.write( "Then we can write 75° as 30°+45°\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "Then we can use the identity: \r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Rationalize the denominator:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Indicate multiplication of numerators and denominators:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Multiply out the bottom:\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "Move the negative sign out front, and cancel the 4's\r\n" );
document.write( "\r\n" );
document.write( "=\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );