SOLUTION: show that cotA + tanB / cotB + tanA =cotAtanB

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Question 850699: show that cotA + tanB / cotB + tanA =cotAtanB
Answer by hamsanash1981@gmail.com(151) About Me  (Show Source):
You can put this solution on YOUR website!
LHS = %28cotA%2BtanB%29%2F%28cotB%2BtanA%29
%28cosA%2FsinA+%2BsinB%2FcosB%29%2F+%28cosB%2FsinB%2BsinA%2FcosA%29
%28%28cosAcosB+%2BsinAsinB%29%2FsinAcosB%29%2F%28%28cosBcosA%2BsinAsinB%29%2FcosAsinB%29
%28%28cosAcosB+%2BsinAsinB%29%2FsinAcosB%29%2A%28cosAsinB%2F%28cosBcosA%2BsinAsinB%29%29
cosAsinB%2FsinAcosB%29
cosA%2FsinA%2ASinB%2FcosB
cotA.tanB
= RHS
Hence proved