Use a Sum or Difference Identity to Find the Exact $\tan \theta$

question 313

Multiple Choice

Use a sum or difference identity to find the exact value.
-Find $\tan \theta$ if $\sec \theta = \frac { \sqrt { 5 } } { 2 }$ and $\sin \theta < 0$ .

• A) \(- \frac { 1 } { 2 }\)
• B) 2
• C) \(- 2\)
• D) \(- \sqrt { 5 }\)