Higher June 2018 Paper 1 Q22EduqasHigherCurrent spec4 marksExact Trig & Graphs22.(a) On the axes below, sketch the graph of \(y = \tan x\) for \(0^\circ \leqslant x \leqslant 360^\circ\). [2](b) Find all solutions of the equation \(\tan x = 1\) for \(0^\circ \leqslant x \leqslant 360^\circ\). [2]Mark scheme (a)Mark scheme (b)Mark scheme (a)SchemeMarksCommentsCorrect tangent graph over full domainB2B1 for asymptotes at \(x = 90^\circ\) and \(x = 270^\circ\) and correct shape for at least one complete and continuous section; be generous with shapeMark scheme (b)SchemeMarksComments45(°) and 225(°)B2with no extras in rangeB1 for either, ignoring extras, or for180 + ‘their 45’ providing ‘their 45’ is acuteIf no marks then SC1 for sight of tan45 = 1(4)
