Question

Tentukan himpunan penyelesaiannya!
3 tan²x - secan²x - 5 = 0, 0 ≤ x ≤ 360

Answer 1

Verified answer

TriGonoMetRi

3 tan² x - sec² x - 5 = 0
Samakan penyebutnya ---> cos² x
(3 sin² x - 1 - 5 cos² x)/cos² x = 0
Kdua ruas kalikan cos² x
dan ubah cos² x
3 sin² x - 1 - 5(1 - sin² x) = 0
8 sin² x - 6 = 0
sin² x = 6/8 = 3/4
sin² x = ± √(3/4)
sin x = 1/2 √3
x = 60° , 120°

sin x = -1/2 √3
x = 240° , 300°

HP = {60° , 120° , 240° , 300°}