document.write( "Question 575074: find the exact value of:
\n" ); document.write( "cos ( tan^-1 (4/3) + cos^-1 (12/13 ) )
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Algebra.Com's Answer #369382 by lwsshak3(11628)\"\" \"About 
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ind the exact value of:
\n" ); document.write( "cos ( tan^-1 (4/3) + cos^-1 (12/13 ) )
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\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
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