Question

What is the exact value of tan (StartFraction 5 pi Over 8 EndFraction)

Answer 1

D.

Explanation:

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Answer 2

9514 1404 393

Answer:

(d) -√((2+√2)/(2-√2))

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 ...

`\displaystyle -\sqrt{(2+√(2))/(2-√(2))}`

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Additional comment

This simplifies to -(1+√2). Your calculator can verify the choice for you.