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anonymous

  • 5 years ago

find the value of tan 5π/8

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  1. amistre64
    • 5 years ago
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    well; we can either try to se trig formulas; or simply use a calculator

  2. amistre64
    • 5 years ago
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    http://www.wolframalpha.com/input/?i=tan%285pi%2F8%29

  3. anonymous
    • 5 years ago
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    oh, sorry. no calculators, says to use trig functions.

  4. amistre64
    • 5 years ago
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    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

  5. anonymous
    • 5 years ago
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    nice website, thanks

  6. amistre64
    • 5 years ago
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    tana+tanb tan(a+b) = ------------- 1- tana.tanb tana-tanb tan(a-b) = ------------- 1+ tana.tanb

  7. amistre64
    • 5 years ago
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    tan(2a) = 2.tana --------- 1-tan^2(a)

  8. amistre64
    • 5 years ago
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    but i dont see that one being helpful :)

  9. amistre64
    • 5 years ago
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    i dont se any of the familiar angles summing it up to get 112.5

  10. amistre64
    • 5 years ago
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    it is 225 degrees/2 tho; so maybe split that tan into sin and cos functions and work on half angle formulas

  11. amistre64
    • 5 years ago
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    either way you go, its gonna be a nightmare

  12. anonymous
    • 5 years ago
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    i know, but it looks like it would be so easy!

  13. anonymous
    • 5 years ago
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    thanks for trying

  14. amistre64
    • 5 years ago
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    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

  15. amistre64
    • 5 years ago
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    sqrt(1+cos(5pi/4)) ----------------- = tan(5pi/8) sqrt(1-cos(5pi/4))

  16. amistre64
    • 5 years ago
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    sqrt(1+[-1/sqrt(2)]) ------------------- sqrt(1 - [1/sqrt(2)])

  17. amistre64
    • 5 years ago
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    \[\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}\]

  18. amistre64
    • 5 years ago
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    thats the exact form

  19. amistre64
    • 5 years ago
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    well; i think it finally settles down to: -1 - sqrt(2)

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