Year 11 Specialist (Unit 1 & 2) Trigonometric functions

Graphing the reciprocal trigonometric functions

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Questions

Question 1

75468

Sketch the graph of \(y=\sec 2x\) over the interval \([0,2\pi ]\)

Answer

Refer to worked solution

Worked Solution

\begin{aligned}
&y=\sec 2x\ \text{is the reciprocal of } y=\cos 2x,\\
& \text{as indicated in blue. The period of } \cos 2x\ \text{is}\ \pi.\\
&\text{As is the period of}\ y=\sec 2x.\\
&\text{The zero's of } y=\cos 2x\ \text{become the asymptotes of }\ y=\sec 2x
\end{aligned}

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