Jika x1 dan x2 memenuhi persamaan 12 cos^2 x - cos x-1=0, maka sec^2 x1 + sec^2 x2 = ....
Matematika
Jessica
Pertanyaan
Jika x1 dan x2 memenuhi persamaan 12 cos^2 x - cos x-1=0, maka sec^2 x1 + sec^2 x2 = ....
1 Jawaban
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1. Jawaban Ghinashoda
12 cos^2 x - cos x-1=0(4Cosx + 3)(Cosx - 1) = 0
4Cosx + 3 = 0 atau Cosx - 1 = 0
Cos x = -3/4 atau Cos x = 1
Sex^2x1 + Sex^2x2 = (1/Cosx1)^2 + (1/Cosx2)^2
= (1/(-3/4))^2 + (1/1)^2
= 16/9 + 1
= 25/9