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

Question 313

Multiple Choice

Use a sum or difference identity to find the exact value.
-Find tan⁡θ\tan \theta if sec⁡θ=52\sec \theta = \frac { \sqrt { 5 } } { 2 } and sin⁡θ<0\sin \theta < 0 .


A) −12- \frac { 1 } { 2 }
B) 2
C) −2- 2
D) −5- \sqrt { 5 }

Correct Answer:

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