Question

The equation sinx = √ 2/2 is an identity.
True or False?

Answer 1

sinx = √ 2/2 is an equation that is good only for some 'x'.

An identity will be true for ALL 'x'.

Answer 2

it was false. But thank you!

Answer 3

That is exactly what I said above. sinx = √ 2/2 is an EQUATION
from which you should have concluded it is NOT an identity.

Answer 4

sin^2(x) + cos^2(x) = 1 is an identity because it is true for ALL x.

sinx = √ 2/2 is not an identity because it is true only for some x.