Question

Tentukan himpunan penyelesaiannya!
6 sin² x = 5 sin x - 1, 0 ≤ x ≤ 2π

Answer 1

Verified answer

TriGonoMetRi

6 sin² x = 5 sin x - 1
6 sin² x - 5 sin x + 1 = 0
(2 sin x - 1)(3 sin x - 1) = 0

Interval : 0 ≤ x ≤ 2π

Pembuat nol :
2 sin x - 1 = 0
sin x = 1/2
x = 30° atau x = 180° - 30° = 150°

3 sin x - 1 = 1/3
sin x = 1/3
x = 19,47° atau x = 180° - 19,47 = 160,53°

HP = {30° , 19,47° , 150° , 160,53°}
atau
HP = {1/6 π , 0,108 π , 5/6 π , 0,89π}