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Reciprocal trig functions
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Reciprocal trig functions \(\sec\theta=\frac{1}{\cos\theta}\), \(\cosec\theta=\frac{1}{\sin\theta}\) and \(\cot\theta=\frac{1}{\tan\theta}\), including the graph, domain and range of \(\sec x\), \(\cosec x\) and \(\cot x\).
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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
Domain: x=2(2k+1)π=±2π,±23π…
Range: secx≤−1 or secx≥1.
Graph & domain & range of cosec(x)
AHL 3.9
cosecx
Domain: x=kπ=0,±π,±2π…
Range: cosecx≤−1 or cosecx≥1.
Graph & domain & range of cot(x)
AHL 3.9
cotx
Domain: x=kπ=0,±π,±2π…
Range: cotx∈R.
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