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Math Help - trig

  1. #1
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    trig

    when does sec2​x equal 4?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: trig

    Take the square root of both sides, then write in terms of cosine if that helps. What do you find?
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  3. #3
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    Re: trig

    pi/3... 2pi/3... 4pi/3... 5pi/3
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: trig

    Yes, assuming we are given 0\le x<2\pi.
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    Re: trig

    or plus 2npi for each if not given that interval?
    Quote Originally Posted by MarkFL2 View Post
    Yes, assuming we are given 0\le x<2\pi.
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: trig

    We could shorten it since the 1st quadrant solution and the 3rd quadrant solutions differ by \pi, likewise for the 2nd and 4th quadrant roots, and so we could state:

    x=\frac{\pi}{3}(3k+1),\,\frac{\pi}{3}(3k+2) where k\in\mathbb{Z}.
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  7. #7
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    Re: trig

    Quote Originally Posted by MarkFL2 View Post
    We could shorten it since the 1st quadrant solution and the 3rd quadrant solutions differ by \pi, likewise for the 2nd and 4th quadrant roots, and so we could state:

    x=\frac{\pi}{3}(3k+1),\,\frac{\pi}{3}(3k+2) where k\in\mathbb{Z}.
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