document.write( "Question 470625: if sinx=1/3, secy=5/3. fine the exact values of
\n" ); document.write( "a) tan(x+y)
\n" ); document.write( "b) cos (x-y)
\n" ); document.write( "c) sin^2(x) + cos^2(y)\r
\n" ); document.write( "\n" ); document.write( "can anyone show me how can i atleast start the question? method?
\n" ); document.write( "thanks
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Algebra.Com's Answer #322863 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
if sinx=1/3, secy=5/3. fine the exact values of
\n" ); document.write( "a) tan(x+y)
\n" ); document.write( "b) cos (x-y)
\n" ); document.write( "c) sin^2(x) + cos^2(y)
\n" ); document.write( "-------------
\n" ); document.write( "sin(x) = 1/3
\n" ); document.write( "\"cos%28x%29+=+sqrt%281+-+sin%5E2%28x%29%29+=+2sqrt%282%29%2F3\"
\n" ); document.write( "---------
\n" ); document.write( "tan(x) = sin(x)/cos(x) = sqrt(2)/4
\n" ); document.write( "-----------------
\n" ); document.write( "sec(y) = 5/3
\n" ); document.write( "cos(y) = 3/5
\n" ); document.write( "sin(y) = 4/5
\n" ); document.write( "tan(y) = sin(y)/cos(y) = 4/3
\n" ); document.write( "------------
\n" ); document.write( "a) \"tan%28x%2By%29+=+%28tan%28x%29+%2B+tan%28y%29%29%2F%281+-+tan%28x%29%2Atan%28y%29%29\"
\n" ); document.write( "= \"%28sqrt%282%29%2F4+%2B+%284%2F3%29%29%2F%281+-+%284%2F3%29%2A%28sqrt%282%29%2F4%29%29\"
\n" ); document.write( "= \"+%28%283sqrt%282%29+%2B+16%29%2F12%29%2F%281+-+sqrt%282%29%2F3%29\"
\n" ); document.write( "= \"+%283sqrt%282%29+%2B+16%29%2F%284%283+-+sqrt%282%29%29%29\"
\n" ); document.write( "= \"+%2854+%2B+25sqrt%282%29%29%2F28\" exactly
\n" ); document.write( "=~ 3.191
\n" ); document.write( "--------------------
\n" ); document.write( "b) cos (x-y)
\n" ); document.write( "= cos(x)cos(y) + sin(x)sin(y)
\n" ); document.write( "= \"%282sqrt%282%29%2F3%29%2A%283%2F5%29+%2B+%281%2F3%29%2A%284%2F5%29\"
\n" ); document.write( "= \"2sqrt%282%29%2F5+%2B+4%2F15\" exactly
\n" ); document.write( "=~ 0.832352
\n" ); document.write( "------------
\n" ); document.write( "c) sin^2(x) + cos^2(y)
\n" ); document.write( "= 1/9 + 9/25
\n" ); document.write( "= 106/225
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