document.write( "Question 804658: tan x + cot x = 25/12 , find sin x + cos x \n" ); document.write( "

Algebra.Com's Answer #485007 by lwsshak3(11628) $\"\"$ $\"About$

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tan x + cot x = 25/12 , find sin x + cos x
\n" ); document.write( "***
\n" ); document.write( " $\"tan%28x%29%2Bcot%28x%29=25%2F12\"$
\n" ); document.write( " $\"tan%28x%29%2B%281%2Ftan%28x%29%29=25%2F12\"$
\n" ); document.write( " $\"%28tan%5E2%28x%29%2B1%29%2Ftan%28x%29=25%2F12\"$
\n" ); document.write( " $\"%2812tan%5E2%28x%29%2B12%29=25tan%28x%29\"$
\n" ); document.write( " $\"12tan%5E2%28x%29-25tan%28x%29%2B12=0\"$
\n" ); document.write( "(4tan(x)-3)(3tan(x)-4)
\n" ); document.write( "..
\n" ); document.write( "tan(x)=3/4
\n" ); document.write( "working with (3-4-5) right triangle
\n" ); document.write( "sin(x)=3/5
\n" ); document.write( "cos(x)=4/5
\n" ); document.write( "sin(x)+cos(x)=3/5+4/5=7/5
\n" ); document.write( "or
\n" ); document.write( "tan(x)=4/3
\n" ); document.write( "working with (3-4-5) right triangle
\n" ); document.write( "sin(x)=4/5
\n" ); document.write( "cos(x)=3/5
\n" ); document.write( "sin(x)+cos(x)=4/5+3/5=7/5 \n" ); document.write( "

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