Matematika

Pertanyaan

Tolong jawab soal no9,10 ini
Tolong jawab soal no9,10 ini

1 Jawaban

  • 10) (cot x + cos x)/(1 + sin x)
    = ((cos x)/(sin x) + cos x)/(1 + sin x) . (sin x)/(sin x)
    = (cos x + sin x cos x)/(1 + sin x)(sin x)
    = cos x (1 + sin x) / (1 + sin x)(sin x)
    = (cos x)/(sin x)
    = cot x

    9) kemungkinan no 9 salah soal seharusnya soalnya
    1/(cosec A - cot A)
    = 1/(1/(sin A) - (cos A)/(sin A))
    = 1/((1 - cos A)/(sin A))
    = (sin A)/(1 - cos A) . (1 + cos A)/(1 + cos A)
    = (sin A)(1 + cos A)/(1 - cos^2 A)
    = (sin A)(1 + cos A)/(sin^2 A)
    = (1 + cos A)/(sin A)
    = 1/(sin A) + (cos A)/(sin A)
    = cosec A + cot A