1 of 8 0-day streak

Key points and features of the basic sine and cosine graphs

Question 1 of 8

No calculator

For this item, take the basic cosine function to be \(f(x)=\cos x\)

The graph is considered on \([-\frac{5}{2}\pi,\ -\frac{1}{2}\pi]\); 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 coefficient of \(\pi\) in x, then the y-value

\(x_2\) coefficient of \(\pi\) \(y_2\) \(x_5\) coefficient of \(\pi\) \(y_5\)