Question

Sec^2 (x) - 7tg^2 (x) = tg (x)

Answer 1

sec^2(x)-7tg^2(x)=tg(x)
usando la identidad
sec^2(x)=1+tg^2(x)
nos queda
1+tg^2(x)-7tg^2(x)=tg(x)
agrupando e igualando a cero
-6tg^2(x)-tg(x)+1=0

resolviendo encontramos

tg(x)=1/3    x=0,321750554 rad
tg(x)=-1/2   x=-0,463647609 rad