Use the half-angle formulas to determine the exact value of the given trigonometric expression. $$\tan \frac { 3 \pi } { 8 }$$
A) $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } - 1$
B) $\tan \frac { 3 \pi } { 8 } = \frac { \sqrt { 2 - \sqrt { 2 } } } { 4 }$
C) $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 + \sqrt { 2 } }$
D) $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } + 1$
E) $\tan \frac { 3 \pi } { 8 } = - \frac { \sqrt { 2 + \sqrt { 2 } } } { 4 }$

Question

Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​​ $$\tan \frac { 3 \pi } { 8 }$$ ​
A)​ $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } - 1$
B)​ $\tan \frac { 3 \pi } { 8 } = \frac { \sqrt { 2 - \sqrt { 2 } } } { 4 }$
C)​ $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 + \sqrt { 2 } }$
D)​ $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } + 1$ ​
E)​ $\tan \frac { 3 \pi } { 8 } = - \frac { \sqrt { 2 + \sqrt { 2 } } } { 4 }$

Quizplus · Accepted Answer

The Answer of Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​​ $$\tan \frac { 3 \pi } { 8 }$$ ​
A)​ $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } - 1$
B)​ $\tan \frac { 3 \pi } { 8 } = \frac { \sqrt { 2 - \sqrt { 2 } } } { 4 }$
C)​ $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 + \sqrt { 2 } }$
D)​ $\tan \frac { 3 \pi } { 8 } = \sqrt { 2 } + 1$ ​
E)​ $\tan \frac { 3 \pi } { 8 } = - \frac { \sqrt { 2 + \sqrt { 2 } } } { 4 }$

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