Find the Exact Values Of $\sin 2 \theta , \cos 2 \theta , \text { and } \tan 2 \theta$

Find the exact values of $\sin 2 \theta , \cos 2 \theta , \text { and } \tan 2 \theta$ for the given values of $6$ . $\sec \theta = - 12 ; 90 ^ { \circ } < \theta < 180 ^ { \circ }$

A) $- \frac { \sqrt { 143 } } { 72 } , - \frac { 71 } { 72 } , \frac { \sqrt { 143 } } { 71 }$
B) $\frac { \sqrt { 12 } } { 143 } , \frac { 71 } { 72 } , \frac { \sqrt { 71 } } { 143 }$
C) $- \frac { 143 } { 72 } , - \frac { 71 } { 72 } , - \frac { 143 } { 71 }$
D) $- \frac { \sqrt { 143 } } { 72 } , - \frac { 143 } { 72 } , \frac { \sqrt { 143 } } { 143 }$
E) $- \frac { 143 } { 72 } , \frac { 71 } { 72 } , \frac { 143 } { 71 }$

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