The diagram shows the graphs of $y = \sin 2 x$ and $y = \cos 2 x$ for $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$
Which one of the following is not true?
A $\cos 2 x < \sin 2 x < \tan x$ for some real number $x$ with $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$
B $\cos 2 x < \tan x < \sin 2 x$ for some real number $x$ with $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$
C $\sin 2 x < \cos 2 x < \tan x$ for some real number $x$ with $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$
D $\sin 2 x < \tan x < \cos 2 x$ for some real number $x$ with $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$
E $\tan x < \sin 2 x < \cos 2 x$ for some real number $x$ with $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$
F $\tan x < \cos 2 x < \sin 2 x$ for some real number $x$ with $- \frac { \pi } { 2 } < x < \frac { \pi } { 2 }$