0580 P43 - Nov 2023 - Q7 - 11 marks
12263
\(y=3\cos2x^\circ\). Values are to 1 decimal place.
| x | 0 | 10 | 20 | 30 | 40 | 45 | 50 | 60 | 70 | 80 | 90 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| y | 3 | 2.8 | 2.3 | 1.5 | 0.5 | -0.5 | -2.3 | -3 |
(a) Complete the table. [3]
(b) Draw the curve for \(0\le x\le90\). [4]
(c) Use the graph to solve \(3\cos2x^\circ=-2\) in this interval. [1]
(d) Draw a suitable straight line to solve \(120\cos2x^\circ=80-x\) in this interval. [3]
