Question

determine os valores de x que satisfazem a equação s.tg²x+sec²x=2​

Answer 1

s.tg²x+sec²x=2

2.tg²x + (sec²x) = 2. ===> s virou 2

2tg²x + (1+tg²x)= 2

3tg²x = 1

tg²x = 1/3

tgx = √1/3 = ±√3/3 ↓

x' = 30° ✓

x" = 30+180= 210° ✓

x'" = 180-30 = 150° ✓

x"" = 360-30= 330° ✓