1.

If cos theta + sin theta =1 then prove that cos theta-sin Theta= + - 1 please solve this

Answer»

Cosß+sinß=1
or, (cosß+sinß)^2 = 1
or, cosß^2+sinß^2 + 2cosßsinß= 1
or, cosßsinß=0

Then, (Cosß - sinß)^2 = cosß^2+sinß^2 - 2cosßsinß
= 1 - 0
= 1
Cosß - sinß = +-1 (PROVED)



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