Question

Himpunan penyelesaian dari persamaann √3 tan (x - π/3) =1 untuk 0 ≤ x ≤ 2π adalah?

Answer 1

√3 tan (x - π/3) = 1
tan (x - π/3) = 1/√3
tan (x - π/3) = tan π/6
x - π/3 = π/6 + k.π
x = π/2 + k.π
k = 0 maka x = π/2
k = 1 maka x = 3π/2
HP = {π/2. 3π/2}

Answer 2

√3 tan (x - π/3) = 1
tan (x - π/3) = 1/√3
tan (x - π/3) = tan π/6
x - π/3 = π/6 + k.π
x = π/2 + k.π
k = 0 maka x = π/2
k = 1 maka x = 3π/2
HP = {π/2. 3π/2}