Reciprocal Trig Functions - Definitions (Edexcel A-Level Mathematics): Quizzes

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Reciprocal Trig Functions - Definitions
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10 questions from this quiz

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What is the definition of cscθ\csc \theta?

1sinθ\frac{1}{\sin \theta}

Which expression is equivalent to cotθ\cot \theta?

cosθsinθ\frac{\cos \theta}{\sin \theta}

At which angles is secθ\sec \theta undefined?

90°,270°90°, 270°

When is cscθ\csc \theta undefined?

When sinθ=0\sin \theta = 0

What is the range of secθ\sec \theta?

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

How does the graph of cotθ\cot \theta behave as θ\theta increases?

It decreases

Which identity relates sec2θ\sec^2 \theta and tan2θ\tan^2 \theta?

sec2θ=1+tan2θ\sec^2 \theta = 1 + \tan^2 \theta

What is the Pythagorean identity for csc2θ\csc^2 \theta and cot2θ\cot^2 \theta?

csc2θ=1+cot2θ\csc^2 \theta = 1 + \cot^2 \theta

What is the simplified form of cscθsinθ\csc \theta \cdot \sin \theta?

11

If tanA=13\tan A = \frac{1}{3}, what is sec2A\sec^2 A?

109\frac{10}{9}

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