Question

Cos (2x-π/3) = 1/2
0°≤ x ≤ 360°
tentukan hp nya...

Answer 1

Cos 2x-pi/3 = 1/2
cos 2x-pi/3 = cos pi/3

a. 2x-pi/3 = pi/3 + k. 2pi
    2x= pi/3 - pi/3 + k . 2pi
    2x = k 2pi
     x = k. pi
k=0 -> 0
k=1 -> pi
k=2 -> 2 pi

b. 2x-pi/3= - (pi/3) + k. 2pi
2x=- 2pi/3 + k 2 pi
x= - pi/3 + k. pi
k=1 -> 2/3 pi
k=2 -> 5/3 pi
 hp= (0, 2/3 pi, pi, 5/3 pi, 2pi)