What is the period for csc, sec, and cot?

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3 Answers

  • Assuming no compressions or expansions:

    cscx = 2pi, since the period of sinx= 2pi

    secx = 2pi, since the period of cosx= 2pi

    cotx = pi, since the period of tanx= pi

    Note: even if cscx, secx, and cotx are reciprocals, the period does NOT change.

  • https://shorturl.im/gfW2J

    cot does indeed have a period of pi, but sec and csc have periods of 2pi

  • The trig functions csc, sec and cot are called reciprocal functions.

    If you know the periods for sin, cos and tan, you know the periods for the three trig functions you seek.

    But, here is it:

    Period for csc is 2pi

    Period for sec is 2pi

    Period for cot is pi

    What does this mean anyway?

    It means the trig functions csc and sec repeat the same graph 2pi units to the left and right of the origin forever; the cot function repeats the same graph pi units to the left and right of the origin forever.

    Clear?

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