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Use the Half-Angle Formulas to Determine the Exact Value of the Given

Question 50

Multiple Choice

Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​​ tan⁡3π8\tan \frac { 3 \pi } { 8 } ​


A) ​ tan⁡3π8=2−1\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } - 1
B) ​ tan⁡3π8=2−24\tan \frac { 3 \pi } { 8 } = \frac { \sqrt { 2 - \sqrt { 2 } } } { 4 }
C) ​ tan⁡3π8=2+2\tan \frac { 3 \pi } { 8 } = \sqrt { 2 + \sqrt { 2 } }
D) ​ tan⁡3π8=2+1\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } + 1 ​
E) ​ tan⁡3π8=−2+24\tan \frac { 3 \pi } { 8 } = - \frac { \sqrt { 2 + \sqrt { 2 } } } { 4 }

Correct Answer:

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