Reciprocal & Inverse Trigonometric Functions (AQA A-Level Mathematics): Quizzes

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Reciprocal Trig Functions - Graphs
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What is the definition of csc⁡θ\csc \theta?

1sin⁡θ\frac{1}{\sin \theta}

At which values is csc⁡θ\csc \theta undefined?

Where sin⁡θ=0\sin \theta = 0

What is the period of csc⁡θ\csc \theta?

360∘360^\circ or 2π2\pi radians

What is the range of csc⁡θ\csc \theta?

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

Where does sec⁡θ\sec \theta have vertical asymptotes?

Where cos⁡θ=0\cos \theta = 0

In radians, where are the asymptotes of sec⁡θ\sec \theta?

θ=π2+nπ\theta = \frac{\pi}{2} + n\pi

What is the alternative form of cot⁡θ\cot \theta?

cos⁡θsin⁡θ\frac{\cos \theta}{\sin \theta}

What is the period of cot⁡θ\cot \theta?

180∘180^\circ or π\pi radians

How does cot⁡θ\cot \theta behave between asymptotes?

Decreases from positive to negative ∞\infty

What is the range of cot⁡θ\cot \theta?

(−∞,∞)(-\infty, \infty)

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