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

Asked by vaishnavi | 20th May, 2016, 01:22: PM

Expert Answer:

begin mathsize 12px style straight X squared plus straight Y squared equals open parentheses sinA plus cosA close parentheses squared plus open parentheses sinA minus cosA close parentheses squared
equals sin squared straight A plus cos squared straight A plus 2 sinAcosA plus sin squared straight A plus cos squared straight A minus 2 sinAcosA
equals 1 plus 1 space left parenthesis since space sin squared straight A plus cos squared straight A equals 1 right parenthesis
equals 2 space left parenthesis p r o v e d right parenthesis end style

Answered by satyajit samal | 22nd May, 2016, 03:22: PM