document.write( "Question 1032544: If ∠A is ACUTE and cos A = 4/5 find sin A, cos2A, sin2A, tan2A \n" ); document.write( "
Algebra.Com's Answer #647214 by ikleyn(52782)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( ".
\n" ); document.write( "If ∠A is ACUTE and cos A = 4/5 find sin A, cos 2A, sin 2A, and tan 2A
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "1.  sin(A) = \"sqrt%281-cos%5E2%28A%29%29\" = \"sqrt%281-%284%2F5%29%5E2%29\" = \"sqrt%281-16%2F25%29\" = \"sqrt%28%2825-16%29%2F25%29\" = \"sqrt%289%2F25%29\" = + \"3%2F5\" = \"3%2F5\".\r\n" );
document.write( "\r\n" );
document.write( "    Notice that the sign is \"+\" for sine, because ∠A is ACUTE.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  cos(2A) = \"cos%5E2%28A%29+-+sin%5E2%28A%29\" = \"%284%2F5%29%5E2\" - \"%283%2F5%29%5E2\" = \"%2816-9%29%2F25\" = \"7%2F25\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  sin(2A) = 2*sin(A)*cos(A) = \"2%2A%283%2F5%29%2A%284%2F5%29\" = \"24%2F25\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4.  tan(2A) = \"sin%282A%29%2Fcos%282A%29\" = \"%2824%2F25%29%3A%287%2F25%29\" = \"24%2F7\" = \"3\"\"3%2F7\".\r\n" );
document.write( "

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