himpunan penyelesaian 19 cos x=8+2 sin²x untuk 0

19 cosx = 8 + 2 sin^2 x
ingat bahwa sin^2 x + cos^2 x = 1 <=> sin^2 x = 1 - cos^2 x
19 cosx = 8 + 2(1 - cos^2 x)
<=> 19 cosx = 8 + 2 - 2 cos^2 x
<=> 2 cos^2 x + 19 cosx - 10 = 0
<=> (2 cosx - 1)(cosx + 10) = 0
#2 cosx - 1 = 0
<=> cosx = 1/2
<=> x = (π/3), (2π - π/3 = 5π/3)
#cosx + 10 = 0
<=> cosx = -10 (TM)
Jadi Hp = {π/3, 5π/3}.