document.write( "Question 575074: find the exact value of:
\n" );
document.write( "cos ( tan^-1 (4/3) + cos^-1 (12/13 ) ) \n" );
document.write( "
Algebra.Com's Answer #369382 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! ind the exact value of: \n" ); document.write( "cos ( tan^-1 (4/3) + cos^-1 (12/13 ) ) \n" ); document.write( "** \n" ); document.write( "Addition formula for cosine: \n" ); document.write( "cos(x+y)=cos(x)cos(y)-sin(x)sin(y) \n" ); document.write( ".. \n" ); document.write( "let x = tan^-1 (4/3) (an angle) \n" ); document.write( "cos(x)=3/5 \n" ); document.write( "sin(x)=4/5 \n" ); document.write( ".. \n" ); document.write( "let y = cos^-1 (12/13) (an angle) \n" ); document.write( "cos(y)=12/13 \n" ); document.write( "sin(y)=5/13 \n" ); document.write( ".. \n" ); document.write( "cos(x+y)=(3/5*12/13)-(4/5*5/13) \n" ); document.write( "cos(x+y)=(36/65)-(20/65) \n" ); document.write( "cos(x+y)=16/65 \n" ); document.write( ".. \n" ); document.write( "ans: \n" ); document.write( "cos ( tan^-1 (4/3) + cos^-1 (12/13 ) )=16/65\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |