Trig question

This is a discussion on Trig question within the A Brief History of Cprogramming.com forums, part of the Community Boards category; A fairly simple equation by the looks of it but one I dont have a clue how to solve, somebody ...

  1. #1
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    Trig question

    A fairly simple equation by the looks of it but one I dont have a clue how to solve, somebody give me a hand please:

    46/27 = tan(1.5x)/tan(x)

    I've managed to get the solution graphically, but how would it be done algebraically, is there an important trig identity I shoud know?

    Thanks a lot.

  2. #2
    l'Anziano DavidP's Avatar
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    i assume you are solving for x? or what?
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    "Circular logic is good because it is."

  3. #3
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    Yeah, I'm trying to solve for x (in radians).

  4. #4
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    man, I hate radians! hense I don't like the trig functions that came standard with my compiler.

  5. #5
    & the hat of GPL slaying Thantos's Avatar
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    tan(1.5x) =
    tan(x + .5x) =
    (tan (x) + tan(.5x))/(1-tan(x)tan(.5x))
    or
    (sin(x)cos(.5x)+cos(x)sin(.5x)) / (cos(x)cos(.5x)-sin(x)sin(.5x))

    so divide that by tan(x) and reduce reduce reduce

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