Persamaan Trigonometri Dasar sin (x - π/2) = - ½ √3

Persamaan Trigonometri Dasar Berikut sin (x - π/2) = - ½ √3 Mempunyai Himpunan Penyelesaian….(0 <x< 2π)

 

Pembahasan

sin (x - π/2) = -½ √3

sin (x - π/2) = sin 4π/3

(x - π/2) = 4π/3 + k . 2π

x = 4π/3 + π/2 + k . 2π

x = 11π/6 + k . 2π

k = 0, maka x = 11π/6

k = 1, maka x = 23π/6 (tidak memenuhi)

 

x – π/2 = π - 4π/3 + k . 2π

x = - π/3 + π/2 + k . 2 π

x = π/6 + k . 2π

k = 0, maka x = π/6

k = 1, maka x = 13π/6 (tidak memenuhi)

 

HP = {π/6, 11π/6}

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