document.write( "Question 758776: if sin of theta is equal to 2/3 and theta is in quadrant 1 what is the value of tan theta and cos theta ? \n" ); document.write( "

Algebra.Com's Answer #461687 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
if sin of theta is equal to 2/3 and theta is in quadrant 1 what is the value of tan theta and cos theta ?\r
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "This approach might be more in line with what your teacher wants.\r\n" );
document.write( "\r\n" );
document.write( "Draw angle theta in quadrant 1:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Draw a perpendiculat from the endpoint down to the x-axis:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since the sine is the opposite over the hypotenuse, or y/r,\r\n" );
document.write( "and the sine is given as 2/3, use the numerator 2 for y and the\r\n" );
document.write( "denominator 3 for r\r\n" );
document.write( "\r\n" );
document.write( "label the green line, opposite side y=2, and hypotenuse r=3\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we use the Pythagorean theorem to find the adjacent side x,\r\n" );
document.write( "\r\n" );
document.write( "r² = x² + y²\r\n" );
document.write( "\r\n" );
document.write( "3² = x² + 2²\r\n" );
document.write( " \r\n" );
document.write( " 9 = x² + 4\r\n" );
document.write( "\r\n" );
document.write( " 5 = x²\r\n" );
document.write( "\r\n" );
document.write( "√5 = x\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "tan(q) =  =  =  =  =   \r\n" );
document.write( "\r\n" );
document.write( "cos(q) =  =  =  \r\n" );
document.write( "\r\n" );
document.write( "Edwin

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

\n" );