document.write( "Question 894134: tan theta=2 find the five other trigonometric function values
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #541781 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "The other tutor assumed you meant only the first quadrant. But\r\n" );
document.write( "the tangent is positive in both the first and the third quadrants.\r\n" );
document.write( "\r\n" );
document.write( "\"tan%28theta%29=2\"\r\n" );
document.write( "\r\n" );
document.write( "Two cases.  \"theta\" is in quadrant 1, and quadrant 3\r\n" );
document.write( "\r\n" );
document.write( "Case 1, the only one the other tutor considered):\r\n" );
document.write( "\r\n" );
document.write( "\"tan%28theta%29=y%2Fx=2%2F1\"\r\n" );
document.write( "\r\n" );
document.write( "so take y=2, x=1\r\n" );
document.write( "\r\n" );
document.write( "\"r=sqrt%28x%5E2%2By%5E2%29=sqrt%281%5E2%2B2%5E2%29=sqrt%281%2B4%29=sqrt%285%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28theta%29=y%2Fr=2%2Fsqrt%285%29=2sqrt%285%29%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "\"cos%28theta%29=x%2Fr=1%2Fsqrt%285%29=sqrt%285%29%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "\"cot%28theta%29=x%2Fy=1%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "\"sec%28theta%29=r%2Fx=sqrt%285%29%2F1=sqrt%285%29\"\r\n" );
document.write( "\r\n" );
document.write( "Case 2:\r\n" );
document.write( "\r\n" );
document.write( "\"tan%28theta%29=y%2Fx=%28-2%29%2F%28-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "so take y=-2, x=-1\r\n" );
document.write( "\r\n" );
document.write( "\"r=sqrt%28x%5E2%2By%5E2%29=sqrt%28%28-1%29%5E2%2B%28-2%29%5E2%29=sqrt%281%2B4%29=sqrt%285%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28theta%29=y%2Fr=%28-2%29%2Fsqrt%285%29=-2sqrt%285%29%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "\"cos%28theta%29=x%2Fr=%28-1%29%2Fsqrt%285%29=-sqrt%285%29%2F5\"\r\n" );
document.write( "\r\n" );
document.write( "\"cot%28theta%29=x%2Fy=%28-1%29%2F%28-2%29=1%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "\"sec%28theta%29=r%2Fx=sqrt%285%29%2F%28-1%29=-sqrt%285%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );