document.write( "Question 847656: Given cot u=2/5 and cos v=-3/5 find tan(u+v)
\n" ); document.write( "assume 0\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #510627 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Given cot u=2/5 and cos v=-3/5 find tan(u+v)
\n" ); document.write( "***
\n" ); document.write( "Identity: tan(u+v)=(tanu+tanv)/(1-tanu*tanv)
\n" ); document.write( "cotu=3/5
\n" ); document.write( "tanu=5/3
\n" ); document.write( "..
\n" ); document.write( "in Q2
\n" ); document.write( "cosv=-3/5
\n" ); document.write( "sinv=4/5
\n" ); document.write( "tanv=sin/cos=-4/3
\n" ); document.write( "..
\n" ); document.write( "tan(u+v)=(5/3+(-4/3))/(1-5/3*(-4/3))=(1/3)/(1+(20/9)=(1/3)/(29/9)=3/29
\n" ); document.write( "calculator check:
\n" ); document.write( "tanu=5/3
\n" ); document.write( "u≈59.04˚
\n" ); document.write( "cosv=-3/5 (in Q2)
\n" ); document.write( "v≈126.87
\n" ); document.write( "(u+v)≈185.91˚
\n" ); document.write( "tan(u+v)=tan(185.91)≈0.1034
\n" ); document.write( "exact value=3/29≈0.1034
\n" ); document.write( " \n" ); document.write( "
\n" );