document.write( "Question 969954: Prove that (cot y - cot x) / (cot x + cot y) = sin (x-y) / (sin x + y) \n" ); document.write( "

Algebra.Com's Answer #592661 by lwsshak3(11628) $\"\"$ $\"About$

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Prove that (cot y - cot x) / (cot x + cot y) = sin (x-y) / (sin x + y)
\n" ); document.write( "start with left side
\n" ); document.write( " $\"%28cot+y+-+cot+x%29+%2F+%28cot+x+%2B+cot+y%29\"$
\n" ); document.write( "..
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\n" ); document.write( "note: denominators (sinxsiny) cancel out
\n" ); document.write( "..
\n" ); document.write( " $\"%28%28cosysinx%29+-+%28sinycosx%29%29+%2F+%28%28cosxsiny%29+%2B+%28sinxcosy%29%29\"$
\n" ); document.write( "note: terms rearranged
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\n" ); document.write( "verified: left side=right side \n" ); document.write( "

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