anonymous
  • anonymous
find the value of tan 5π/8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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amistre64
  • amistre64
well; we can either try to se trig formulas; or simply use a calculator
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=tan%285pi%2F8%29
anonymous
  • anonymous
oh, sorry. no calculators, says to use trig functions.

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amistre64
  • amistre64
you wanna use either a tan(a+b) or a tan(a-b) formula than; and find 2 angles that either add to or subtract to 5pi/8
anonymous
  • anonymous
nice website, thanks
amistre64
  • amistre64
tana+tanb tan(a+b) = ------------- 1- tana.tanb tana-tanb tan(a-b) = ------------- 1+ tana.tanb
amistre64
  • amistre64
tan(2a) = 2.tana --------- 1-tan^2(a)
amistre64
  • amistre64
but i dont see that one being helpful :)
amistre64
  • amistre64
i dont se any of the familiar angles summing it up to get 112.5
amistre64
  • amistre64
it is 225 degrees/2 tho; so maybe split that tan into sin and cos functions and work on half angle formulas
amistre64
  • amistre64
either way you go, its gonna be a nightmare
anonymous
  • anonymous
i know, but it looks like it would be so easy!
anonymous
  • anonymous
thanks for trying
amistre64
  • amistre64
it might be; but youd have to do allllooooottt of typing; and its just not that fun to try to keep track of on a keyboard
amistre64
  • amistre64
sqrt(1+cos(5pi/4)) ----------------- = tan(5pi/8) sqrt(1-cos(5pi/4))
amistre64
  • amistre64
sqrt(1+[-1/sqrt(2)]) ------------------- sqrt(1 - [1/sqrt(2)])
amistre64
  • amistre64
\[\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}\]
amistre64
  • amistre64
thats the exact form
amistre64
  • amistre64
well; i think it finally settles down to: -1 - sqrt(2)

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