Higher January 2023 Paper 1R Q20

EdexcelHigherCurrent spec2 marksAdvanced Trigonometry

20 Here is a sketch of the curve \(\;y = a\cos(x + b)°\;\) for \(\;0 \leqslant x \leqslant 360\)

Sketch of a cosine curve for x from 0 to 360: it starts below the x-axis, has a minimum of −2 at x = 45, crosses the x-axis at 135 and 315 and has a maximum of 2 at 225

Given that \(\;0 \lt b \lt 180\)

find the value of \(a\) and the value of \(b\)

(2)