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5.03 Reciprocal relationships

Interactive practice questions

Find $\sec\theta$secθ if $\cos\theta=\frac{2}{9}$cosθ=29.

Easy
< 1min

Find the exact value of $\sin\theta$sinθ if $\operatorname{cosec}\theta=-\frac{2\sqrt{6}}{3}$cosecθ=263.

Easy
< 1min

If $\sin\theta=\frac{2}{9}$sinθ=29, what is the value of $\operatorname{cosec}\theta$cosecθ?

Easy
1min

Write $\operatorname{cosec}\theta$cosecθ in terms of $\sin\theta$sinθ.

Easy
< 1min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-4

uses the concepts and techniques of periodic functions in the solutions of trigonometric equations or proof of trigonometric identities

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