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kompoz [17]
2 years ago
14

What is the exact value of cos (7pi/8)

Mathematics
1 answer:
Mrac [35]2 years ago
6 0

Answer:

The bottom one ....see below

Step-by-step explanation:

Using reference angle of pi/8   and half angle trig identity:

cos ( angle/2) = -sqrt  (1 + cos (angle) /2)

cos ( pi/4  / 2) = - sqrt (1+ cos ( pi/4)/2)

  <u> cos (pi/8)</u>      = -    sqrt (1 + sqrt (2) / 2)

                 = - sqrt (1 + sqrt 2) / sqrt 2     rationalize the denominator

                    = - sqrt ( sqrt 2 + 2) / 2

re arrange to

          - sqrt ( 2 + sqrt2)  / 2        the fourth answer  

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A.  

First, you factor x from x² + 12x

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B.

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Hope this helps :)
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