Higher November 2023 Paper 1 Q20
20 \(x\) and \(y\) are acute angles.
\(\sin x = \dfrac{\sqrt{3}}{2} \qquad\qquad \tan y = 1\)
\(w = 3x - 2y\)
Work out the value of \(\quad \cos w\)
You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((x =)\ 60\) or \((3x =)\ 180\) or \((y =)\ 45\) or \((2y =)\ 90\) | M1 | implied by sin 60 or tan 45 must be selected and not just in a table |
| \(3 \times 60 - 2 \times 45\) or \(180 - 90\) or \((w =)\ 90\) or cos 90 | M1dep | |
| 0 with M2 awarded | A1 |
Additional guidance
| 0 with no working | M0M0A0 |
| Condone degrees sign on answer with correct working | M1M1A1 |