Matematika

Pertanyaan

poin:25
tolong bantu ngerjain soal identitas trigonometri no 12 dan no 3
poin:25 tolong bantu ngerjain soal identitas trigonometri no 12 dan no 3

1 Jawaban

  • 12) (1 + tan^2 x)/(cosec x)
    = (1 + (sin^2 x)/(cos^2 x)) / (1/sin x)
    = ((cos^2 x + sin^2 x)/(cos^2 x) . (sin x)/1
    = 1/(cos^2 x) . sin x
    = (sin x)/(cos x) . 1/(cos x)
    = tan x . sec x

    3) sin x (1 + cot^2 x)
    = sin x (1 + (cos^2 x)/(sin^2 x))
    = sin x ((sin^2 x + cos^2 x/(sin^2 x))
    = sin x . 1/(sin^2 x)
    = 1/(sin x)
    = cosec x

    ^ = pangkat