sinA+cosA =X ,then prove that , (X square + Y square)=2
sinA-cosA    Y

Asked by vaishnavi | 20th May, 2016, 05:03: PM

Expert Answer:

sin A space plus cos A space equals space X
sin A space minus space cos A space equals space Y

x squared plus y squared space equals space open parentheses s i n A space plus c o s A close parentheses squared plus space open parentheses s i n A space minus c o s A close parentheses squared
space space space space space space space space space space space equals sin squared A plus cos squared A plus 2 sin A cos A plus s i n squared A plus c o s squared A minus 2 s i n A c o s A
space space space space space space space space space space space equals 1 plus 1 minus 0
space space space space space space space space space space space equals 2

Answered by  | 6th Jun, 2016, 06:14: PM

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