Question 861664
4 tangent theta times cosine squared theta equals 3 tangent theta. Find all angles in [0°;360°]
{{{4tan(x)*cos^2(x)=3tan(x)}}}
{{{4tan(x)*cos^2(x)-3tan(x)=0}}}
{{{tan(x)(4cos^2(x)-3)=0}}}
tan(x)=0
x=0, π, 360
or
4cos^2(x)-3=0
cos^2(x)=3/4
cos(x)=±√3/2
x=30, 150, 210, 330˚