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anonymous

  • 5 years ago

find the exact value of : cos(2 arctan(4/3))

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  1. amistre64
    • 5 years ago
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    2 tan^-1(4/3) gives us an angle between (-pi/2,pi/2)...

  2. amistre64
    • 5 years ago
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    its a 4-3-5 triangle, I notice that

  3. amistre64
    • 5 years ago
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    3-4-5....but same difference lol

  4. amistre64
    • 5 years ago
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    the cos will equal 3/5, so 2(3/6) = 6/5 that might help us

  5. amistre64
    • 5 years ago
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    cos(cos^-1(6/5)) sounds right so cos(t) = 6/5 .... is that findable?

  6. amistre64
    • 5 years ago
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    or is that our answer :)

  7. amistre64
    • 5 years ago
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    to recap...for my own sanity: cos(t) = x t = 2 tan^-1(4/3) t = 2 cos^-1(3/5) t =2 cos^-1(3/5) cos(2 cos^-1(3/5)) i now this is suppose to help me....

  8. amistre64
    • 5 years ago
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    t/2 = cos^-1(3/5) might fit someplace

  9. amistre64
    • 5 years ago
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    lol...i think i confused myself again

  10. anonymous
    • 5 years ago
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    oh i figured it out the answer is -7/25, thanks for your help

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