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Proving Trigonometric Identities

Use graphing to prove the following identities
Given function,
f(x) =
Given another function, g(x)=
sin(2x) = 2sin(x)cos(x)
sin(x)/cos(x) = tan(x)
cos(2x) = 1-2sin2(x)
cos2(x) + sin2(x) = 1
(1-cos(2x)) / (1-sin2(x)) = 2Tan2(x)
tan(x)cot(x)-sin2(x) = cos2(x)
cot(2x) = (cot2(x)-1) / (2cot(x))
cos(x)/(1-sin(x) = sec(x) + tan(x)