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  • Perplex
    IB Math AAHL
    /
    Trig equations & identities
    /

    Reciprocal trig functions

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    Reciprocal trig functions

    Reciprocal trig functions

    The functions secx, cosecx and cotx, domain, range & graphs

    Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)

    Exercises

    No exercises available for this concept.

    Key Skills

    Reciprocal Trig Ratios
    AHL 3.9

    The reciprocal trig functions are functions of the form f(x)1​, where f is sin,cos or tan. The three reciprocal trig functions are:

    secθ cosecθ cotθ​=cosθ1​📖 =sinθ1​📖 =tanθ1​📖​
    Graph & domain & range of sec(x)
    AHL 3.9

    secx

    Powered by Desmos

    • Domain: x=2(2k+1)π​=±2π​,±23π​…

    • Range: secx≤−1 or secx≥1.

    Graph & domain & range of cosec(x)
    AHL 3.9

    cosecx

    Powered by Desmos

    • Domain: x=kπ=0,±π,±2π…

    • Range: cosecx≤−1 or cosecx≥1.

    Graph & domain & range of cot(x)
    AHL 3.9

    cotx

    Powered by Desmos

    • Domain: x=kπ=0,±π,±2π…

    • Range: cotx∈R.