steve816
  • steve816
Find the exact value without a calculator
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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steve816
  • steve816
\[\tan(\frac{ \pi }{ 8 })\]
zepdrix
  • zepdrix
\[\large\rm \tan\left(\frac{\pi}{8}\right)\quad=\tan\left(\frac{\pi/4}{2}\right)\]
zepdrix
  • zepdrix
Do you have your Half-Angle Formula handy? :)

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mathmale
  • mathmale
There are 'nice' angles and then there are not so nice ones. 'Nice' angles include Pi/4, whose tangent is simply 1; pi/3, whose sine is Sqrt(3) / 2, and so on. Zepdrix has suggested that you re-write the given problem using the 'nice' angle Pi/4, whose tangent is 1, and the "half angle formula." Would you mind looking up that formula?
steve816
  • steve816
\[\frac{ \cos \theta - 1 }{ \sin \theta }\]
mathmale
  • mathmale
Take a look at the following: https://www.google.com/search?q=half+angle+formula&espv=2&tbm=isch&imgil=WlhzRehkuqV63M%253A%253BzfXNMUjP8C-5JM%253Bhttp%25253A%25252F%25252Fmarikafruscio.eu%25252Ff3b48ba9258dfb80f2dc3e41a56e95ae.html&source=iu&pf=m&fir=WlhzRehkuqV63M%253A%252CzfXNMUjP8C-5JM%252C_&biw=1360&bih=673&ved=0ahUKEwjHlej0qNnJAhWIKWMKHWwDDQMQyjcIMg&ei=PaVtVoeDEIjTjAPshrQY&usg=__6EPYtP1ZbMpjYxyEfqQg5yK1UPM%3D#imgrc=WlhzRehkuqV63M%3A&usg=__6EPYtP1ZbMpjYxyEfqQg5yK1UPM%3D This lists various forms of the Half Angle Formula.
mathmale
  • mathmale
Which Half Angle Formula looks to be most easily applicable to the problem at hand?

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