1.27: Cosine curve: coordinates and shaded area

0606/12/M/J/16 — Question 7 · 8 marks

The diagram shows part of the graph of

y = 1 - 2\cos 3x

, which crosses the

x

-axis at the point

A

and has a maximum at the point

B

(i)

Find the coordinates of

A

[2]

(ii)

Find the coordinates of

B

[2]

(iii)

Showing all your working, find the area of the shaded region bounded by the curve, the

x

-axis and the perpendicular from

B

to the

x

-axis.

[4]