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

question 9

Multiple Choice

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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