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

Mathematics

2 answers:

Greeley [361]2 years ago

5 0

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH UNTO YOU

melisa1 [442]2 years ago

4 0

9514 1404 393

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 ...

$\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}$

_____

<em>Additional comment</em>

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

You might be interested in

PLZ HELP GEOMETRY BELOW

Ronch [10]

B. 1 angle A congruent angle B
2. Corresponding parts of similar triangle

3 0

3 years ago

A midwestern music competition awarded 38 ribbons. The number of blue ribbons awarded was 1 less than the number of white ribbon

Artist 52 [7]

Starting from what I know (the difference between ribbons), I decided to go from the bottom and work my way up. I then noticed a pattern (each sum was three more of the previous one), and decided to keep my pattern of the three numbers but not have to do any major mental work and instead add three to the previous sum until I got to 38.