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

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Reciprocal Trig Functions - Definitions
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What is the definition of cscθ\csc \theta?

1sinθ\frac{1}{\sin \theta}

What is the definition of secθ\sec \theta?

1cosθ\frac{1}{\cos \theta}

At which angle is cscθ\csc \theta undefined?

180180^\circ

At which angle is secθ\sec \theta undefined?

9090^\circ

What is the range of secθ\sec \theta?

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

What is the range of cotθ\cot \theta?

(,)(-\infty, \infty)

Which identity involves secant and tangent?

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

Which identity involves cosecant and cotangent?

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

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

11

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

109\frac{10}{9}

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