Question

Tentukan himpunan penyelesaiannya!
Sin² theta + 2 cos² theta = 2 , 0 ≤ x ≤ 360

Answer 1

Verified answer

TriGonoMetRi

theta = a

sin² a + 2 cos² a = 2
sin² a + 2(1 - sin² a) = 2
sin² a + 2 - 2 sin² a - 2 = 0
-sin² a = 0
sin a = 0

Interval : 0° ≤ x ≤ 360°

a = 0° atau a = 180° atau a = 360°

HP = {0° , 180° , 360°}