Year 11 Maths - Methods Circular functions

Graphs Of Sine And Cosine

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Questions

Question 1

19042

Determine the amplitude and period of \(g(x) = 2\cos 3x\)

Answer

Amplitude \(2\)

Period \(\dfrac{{2\pi }}{3}\)

Worked Solution

\begin{align}
&\text { For } y=A \cos nx,\; \text { amplitude }=A, \text { period }=\frac{2 \pi}{n} \\
&\therefore \text { amplitude }=2, \text { period }=\frac{2 \pi}{3}
\end{align}

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