Reciprocal Trig Functions - Graphs (AQA A-Level Mathematics): Flashcards

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Reciprocal Trig Functions - Graphs
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Definition of csc⁡θ\csc \theta

csc⁡θ=1sin⁡θ\csc \theta = \frac{1}{\sin \theta}

Vertical asymptotes of csc⁡θ\csc \theta

θ=nπ\theta = n\pi where nn is an integer

Range of csc⁡θ\csc \theta

(−∞,−1]∪[1,∞)(-\infty, -1] \cup [1, \infty)

Definition of sec⁡θ\sec \theta

sec⁡θ=1cos⁡θ\sec \theta = \frac{1}{\cos \theta}

Vertical asymptotes of sec⁡θ\sec \theta

θ=π2+nπ\theta = \frac{\pi}{2} + n\pi where nn is an integer

Range of sec⁡θ\sec \theta

(−∞,−1]∪[1,∞)(-\infty, -1] \cup [1, \infty)

Definition of cot⁡θ\cot \theta

cot⁡θ=1tan⁡θ\cot \theta = \frac{1}{\tan \theta}

Vertical asymptotes of cot⁡θ\cot \theta

θ=nπ\theta = n\pi where nn is an integer

Period of cot⁡θ\cot \theta

180°180° or π\pi radians

Range of cot⁡θ\cot \theta

(−∞,∞)(-\infty, \infty)

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