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

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Reciprocal Trig Functions - Graphs
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Definition of cscθ\csc \theta

cscθ=1sinθ\csc \theta = \frac{1}{\sin \theta}

Vertical asymptotes of cscθ\csc \theta

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

Range of cscθ\csc \theta

(,1][1,)(-\infty, -1] \cup [1, \infty)

Definition of secθ\sec \theta

secθ=1cosθ\sec \theta = \frac{1}{\cos \theta}

Vertical asymptotes of secθ\sec \theta

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

Range of secθ\sec \theta

(,1][1,)(-\infty, -1] \cup [1, \infty)

Definition of cotθ\cot \theta

cotθ=1tanθ\cot \theta = \frac{1}{\tan \theta}

Vertical asymptotes of cotθ\cot \theta

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

Period of cotθ\cot \theta

180°180° or π\pi radians

Range of cotθ\cot \theta

(,)(-\infty, \infty)

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