Question

If Sin A + Cos A = 1 then prove that Sin A - cos a = 2 + - 1

Answer 1

Hey there!!

Given that ;/
SinA +cosA = 1 --------------(1)

Let sinA - cosA = x ---------(2)

Squaring eqn 1 and 2 and add them we get,

=> 2(sin^2A + cos^2A) = x^2 + 1

=> x^2 = 1

=) x = +- 1

And x = sinA - cosA = +-1

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Hope it will help u