So.. I have a trig identity/equation question from my correspondence book that I can't seem to find an answer for. Here it is:
62) Solve each equation for 0 < x < 2pi
c) sinx = square root (3) *cosx
This will turn into tan x= sqr root(3)
and it will give me x= (pi/3), (4*pi/3)
Now, the next question is
d) Explain why the trig equation in part (c) is not an identity.
Is this just asking the basics of why equations are not identities? Should I say that it is because the statement is true for certain values of x? or in the case of a trig equation, and infinite number of values of x?