Help in trig

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  1. nazgul60's Avatar
    • Full Member
    • Posts: 128
    Help in trig
    When cot(theta)=0, sec(theta)=0, and cosec(theta)=0, does that mean tan(theta)=0, cos(theta)=0, and sin(theta)=0 respectively??

    Thanks
  2. Allofthem's Avatar
    • Full Member
    • Posts: 89
    Re: Help in trig
    No it doesn't.

    cot(x) = 1/tan(x), if you were correct then 0 = 1/0
    sec(x) = 0 implies 1/cos(x) = 0, not possible, similar for cosec.
  3. Tomcrease's Avatar
    • Exalted Member
    • Location: Portsmouth
    • Posts: 288
    Re: Help in trig
    Try drawing \sec\theta and cosec\theta and you tell me where they = 0

    If you think about it this was

    cosec\theta = \frac{1}{sin\theta} for this to equal 0 sin\theta would need to be infinity. Which can not happen. Same with Cos and Sec.

    Cot\theta \rightarrow 0 as  \theta \rightarrow \frac{\pi}{2} but your calculator will say math error since tan\frac{\pi}{2} = \infty
    Last edited by Tomcrease; 13-06-2012 at 16:29.
  4. nazgul60's Avatar
    • Full Member
    • Posts: 128
    Re: Help in trig
    (Original post by Tomcrease)
    Try drawing \sec\theta and cosec\theta and you tell me where they = 0

    If you think about it this was

    cosec\theta = \frac{1}{sin\theta} for this to equal 0 sin\theta would need to be infinity. Which can not happen. Same with Cos and Sec.

    Cot\theta \rightarrow 0 as  \theta \rightarrow \frac{\pi}{2} but your calculator will say math error since tan\frac{\pi}{2} = \infty
    So when this is the case what will be the angles? For cosec(theta) = 0 , this is when sin(theta) = 0??
    Last edited by nazgul60; 13-06-2012 at 18:48.
  5. nazgul60's Avatar
    • Full Member
    • Posts: 128
    Re: Help in trig
    (Original post by Tomcrease)
    Try drawing \sec\theta and cosec\theta and you tell me where they = 0

    tan\frac{\pi}{2} = \infty
    For sec(theta):Pie/2 , 3pie/2,
    For cosec(theta): pie,2Pie
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