1 of 8 0-day streak

Key points and features of the basic sine and cosine graphs

Question 1 of 8

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The function under consideration is the basic cosine function \(f(x)=\cos x\)

The graph is considered on \([-4\pi,\ -2\pi]\); the endpoints are included

Consecutive quarter-turn positions are separated by \(\frac{\pi}{2}\)

(a)1 mark

Which five-point pattern matches the stated basic function?

f(0)=0,\quad f(\frac{\pi}{2})=1,\quad f(\pi)=0,\quad f(\frac{3\pi}{2})=-1,\quad f(2\pi)=0

f(0)=1,\quad f(\frac{\pi}{2})=0,\quad f(\pi)=-1,\quad f(\frac{3\pi}{2})=0,\quad f(2\pi)=1

(b)4 marks

Use the quarter-turn pattern to complete the table. For each point, enter the y-value, then the coefficient of \(\pi\) in x

\(y_3\) \(x_3\) coefficient of \(\pi\) \(y_4\) \(x_4\) coefficient of \(\pi\)