Matematika

Pertanyaan

Jika p sinx + cos x = 1 dan q sin x - cos x = 1, nilai pq =

1 Jawaban

  • p sin x + cos x = 1 => p sin x = 1 - cos x
    q sin x - cos x = 1 => q sin x = 1 + cos x

    p sin x . q sin x = (1 - cos x)(1 + cos x)
    pq sin^2 x = 1 - cos^2 x
    pq sin^2 x = sin^2 x
    pq = (sin^2 x)/(sin^2 x)
    pq = 1

Pertanyaan Lainnya