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Math Help - Finding the minimum value of a trigonometric expression

  1. #1
    Newbie manasij7479's Avatar
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    Angry Finding the minimum value of a trigonometric expression

    |sin x + cos x + tan x + cosec x + sec x + cot x |

    I have no idea how to deal with the modulus in this expression.
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  2. #2
    A Plied Mathematician
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    I think the first thing I would try would be to write the entire function with only sines and cosines. That, I find, sometimes makes things a lot easier to see.
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  3. #3
    Newbie manasij7479's Avatar
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    |sin x + cos x + (1/sin x cos x) +( (sin x + cos x)/sin x cos x) |
    ..then tried to find the minima of the curve after differentiating , but couldn't figure out how to, in the end.
    Last edited by manasij7479; July 13th 2010 at 07:28 PM. Reason: carelessness!
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  4. #4
    A Plied Mathematician
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    Hmm. You need to be a lot more careful with your parentheses there. What's getting divided by what? Don't write so that people can understand you. Write so that no one can misunderstand you!
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