Higher November 2024 Paper 1 Q21
21 Here is a sketch of the graph of \(\quad y = \tan x \quad\) where \(\quad 0^\circ \leqslant x \leqslant 360^\circ\)
You are given that \(\quad\) tan 78.69° = 5
(a) Work out the other value of \(x\) where \(\;\tan x = 5\;\) and \(\;0^\circ \leqslant x \leqslant 360^\circ\) [1 mark]
(b) Work out the two values of \(x\) where \(\;\tan x = -5\;\) and \(\;0^\circ \leqslant x \leqslant 360^\circ\) [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| 258.69 | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(180 - 78.69\) or 101.31 or \(360 - 78.69\) or 281.31 | M1 | oe |
| 101.31 and 281.31 | A1 | either order |
Additional guidance
| −78.69, 101.31 and 281.31 | M1A0 |