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Answer:
(d) -√((2+√2)/(2-√2))
Step-by-step explanation:
5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...
[tex]\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}[/tex]
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Additional comment
This simplifies to -(1+√2). Your calculator can verify the choice for you.
