1 + tan ² x = 6-2 secan ²x, 0<=x<=2πplease bantu jawab besok dikumpulin

Posted on

1 + tan ² x = 6-2 secan ²x, 0<=x<=2πplease bantu jawab besok dikumpulin

Jawaban Terkonfirmasi

Interval : 0 ≤ x ≤ 360°

1 + tan² x = 6 – 2 sec² x
sec² x = 6 – 2 sec² x
sec² x + 2 sec² x = 6
3sec² x = 6
sec² x = 1/cos² x = 6/3
cos² x = 3/6
cos² x = 1/2
cos x = √(1/2) atau cos x = -√(1/2)
cos x = 1/2 √2 atau cos x = -1/2 √2
cos x = cos 45° dan cos 315°
x = 45° , 315°
atau
cos x = cos 135° dan cos 225°
x = 135° , 225°

HP = {45° , 135° , 225° , 315°}