you want
sin(2x) = 1/2 tan(x)
4 sinx cosx = sinx/cosx
sinx (4cos^2(x) - 1) = 0
so, sinx = 0 or cosx = 1/2 or cosx = -1/2
sinx = 0 at x = 0 or 180
cosx = 1/2 at x = -60 or 60
cosx = -1/2 at x = 120
why were you desperate? This is just a little algebra and standard trig angles.
f(x)=sin2x and g(x)=1/2tanx for x is the element of [-90;180]
8.1)calculate the x-coordinates of the points of intersection of f and g.
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