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. ​​ $$\tan \frac { 3 \pi } { 8 }$$ ​

• 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)​ \(\tan \frac { 3 \pi } { 8 } = - \frac { \sqrt { 2 + \sqrt { 2 } } } { 4 }\)

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