Year 11 Maths - Specialist Circular functions

Transformations of the graphs of sine and cosine

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Questions

Question 1

19216

\(y = 2\sin (x + \dfrac{\pi }{2})\)

\(y = 3\sin (x + \dfrac{\pi }{2})\)

\(y = 2\cos (x + \dfrac{\pi }{2})\)

\(y = 3\cos (x + \dfrac{\pi }{2})\)

Answer

\(y = 3\sin (x + \dfrac{\pi }{2})\)

Worked Solution

\begin{align}
&\text{Amplitude }=3\\
&\text { when } x=\pi,\; y=3 \sin \frac{3 \pi}{2}=-3\\
&\therefore B
\end{align}

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