document.write( "Question 678504: What are the sequence of steps that verify the identity (cot x + cot y) / (cot x cot y -1) = (cos x sin y + sin x cos y) / (cos x cos y - sin x sin y) \n" ); document.write( "

Algebra.Com's Answer #421556 by lwsshak3(11628) $\"\"$ $\"About$

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What are the sequence of steps that verify the identity
\n" ); document.write( "(cot x + cot y) / (cot x cot y -1) = (cos x sin y + sin x cos y) / (cos x cos y - sin x sin y)
\n" ); document.write( "start with left side:
\n" ); document.write( "(cot x + cot y) / (cot x cot y -1)
\n" ); document.write( "=(cos x/sin x+cos y/sin y)/(cos x/sin x*cos y/sin y-1
\n" ); document.write( "=[cos x sin y+sin x cosy/sin x sin y]/[(cos x cos y/sin x sin y)-1]
\n" ); document.write( "=[(cos x sin y+sin x cosy)/(sin x sin y)]/[(cos x cos y-sin x sin y)/(sin x sin y)]
\n" ); document.write( "(sin x sin y) denominators cancel out
\n" ); document.write( "=(cos x sin y+sin x cosy)/(cos x cos y-sin x sin y)
\n" ); document.write( "verified: left side=right side \n" ); document.write( "

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