(a) On the axes below, sketch the graph of \(y=\tan x^\circ\) where \(0^\circ\leqslant x\leqslant360^\circ\). [2]
(b) Solve the equation \(\tan x=0{\cdot}8391\) in the range \(0^\circ\leqslant x\leqslant360^\circ\). [2]
Mark scheme (a)
Scheme
Marks
Comments
Correct sketch with inflection points at (0,0), (180, 0) and (360,0) AND graph tending towards the vertical asymptotes at x = 90 and x = 270
B2
If vertical asymptotes not seen, they may be implied by a break in the curve of ‘their sketch’ at x = 90 x = 270 provided there is asymptotic behaviour. Graph must be attempted from x = 0 to x = 360. Ignore continuation of sketch beyond these values.
B1 for sketch with inflection points at (0,0), (180, 0) and (360,0) only OR vertical asymptotes seen at 90 and 270 only
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