1. tan(x)sec(x)=3tan(x) tan(x)/cos(x)=3tan(x) a)tan(x)=0 <=> sin(x)=0 => answer on the required interval is x=pi
b) tan(x)<>0 cos(x)=1/3 x==-arccos(1/3)+2pik where k-ineteger
final answer is combined from answers a),b)
2. tan^2(x)-3tan(x)-2=0 Let's denote& tan(x)=t
t^2-3t-2=0 t=(3+sqrt(17))/2,t=(3-sqrt(17))/2 a)tan(x)=(3+sqrt(17))/2 x=arctan((3+sqrt(17))/2)+pi k, k-integer b) tan(x)=(3-sqrt(17))/2 x=arctan((3-sqrt(17))/2)+pi n , n-integerfinal answer is combined from answers a),b)
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