Matematika

Pertanyaan

buktikan identitas trigonometri no 2 dan 19
buktikan identitas trigonometri no 2 dan 19

2 Jawaban

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  • 2) sec x . sin x = 1/(cos x) . sin x = (sin x)/(cos x) = Tan x

    9) cosec^2 x - (cos^2 x)/(sin^2 x)
    = 1/(sin^2 x) - (cos^2 x)/(sin^2 x)
    = (1 - cos^2 x)/(sin^2 x)
    = (sin^2 x)/(sin^2 x)
    = 1

    ^ = pangkat

    19) (sin^2 x)/(cos^4 x + cos^2 x sin^2 x)
    = (sin^2 x)/(cos^2 x (cos^2 x + sin^2 x))
    = (sin^2 x)/(cos^2 x (1))
    = (sin^2 x)/(cos^2 x)
    = tan^2 x