Question
Wed April 08, 2015 By: Sassdentsattur

if cos + sin = root 2 cos ,then cos - sin = ?

Expert Reply
Vimala Ramamurthy
Wed April 08, 2015
C o n s i d e r space t h e space g i v e n space e q u a t i o n comma space cos theta plus sin theta equals square root of 2 cos theta R e w r i t i n g space t h e space a b o v e space e q u a t i o n comma space w e space h a v e comma sin theta equals square root of 2 cos theta minus space cos theta rightwards double arrow sin theta equals cos theta open parentheses square root of 2 minus 1 close parentheses rightwards double arrow fraction numerator sin theta over denominator cos theta end fraction equals open parentheses square root of 2 minus 1 close parentheses rightwards double arrow tan theta equals open parentheses square root of 2 minus 1 close parentheses rightwards double arrow c o t theta equals fraction numerator 1 over denominator open parentheses square root of 2 minus 1 close parentheses end fraction rightwards double arrow c o t theta equals fraction numerator 1 over denominator open parentheses square root of 2 minus 1 close parentheses end fraction cross times fraction numerator open parentheses square root of 2 plus 1 close parentheses over denominator open parentheses square root of 2 plus 1 close parentheses end fraction rightwards double arrow c o t theta equals fraction numerator open parentheses square root of 2 plus 1 close parentheses over denominator open parentheses 2 minus 1 close parentheses end fraction rightwards double arrow c o t theta equals square root of 2 plus 1 rightwards double arrow fraction numerator cos theta over denominator sin theta end fraction equals square root of 2 plus 1 rightwards double arrow cos theta equals open parentheses square root of 2 plus 1 close parentheses sin theta rightwards double arrow cos theta equals square root of 2 sin theta plus sin theta rightwards double arrow cos theta minus sin theta equals square root of 2 sin theta
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