Sketch, on a single diagram showing values of x from-180° to +180°, the graphs of
y = tan x and y = 4 cos x.
The equation
tan x = 4 cos x
has two roots in the interval-180° ≤x≤ 180°. These are denoted by a and ß, where a
Show a and ß on your sketch, and express ß in terms of a.
Show that the equation tan x = 4 cos x may be written as
Hence find the value of ß-a, correct to the nearest degree.
4 sin’x+ sinx−4=0,
