IF S I N theta plus C O S theta space equals space square root of 2 C O S theta PROVE THAT C O S theta space minus space S I N theta space equals square root of 2 S I N theta space

Asked by sudhindra2001 | 26th Jul, 2015, 05:19: PM

Expert Answer:

G i v e n space t h a t sin theta plus cos theta equals square root of 2 cos theta S q u a r i n g space b o t h space s i d e s comma cos squared A plus sin squared A plus 2 cos A cross times sin A equals 2 cos squared A rightwards double arrow 1 plus 2 cos A cross times sin A equals 2 open parentheses 1 minus sin squared A close parentheses rightwards double arrow 2 sin squared A equals 1 minus 2 sin A cross times cos A rightwards double arrow 2 s i n squared A equals s i n squared A plus cos squared A minus 2 s i n A cross times c o s A rightwards double arrow 2 s i n squared A equals open parentheses cos A minus sin A close parentheses squared rightwards double arrow plus-or-minus square root of 2 s i n A equals c o s A minus s i n A

Answered by Vimala Ramamurthy | 27th Jul, 2015, 09:19: AM