Buktikan identitas Sin x/1+cos x=sec x-1/tan x

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Buktikan identitas
Sin x/1+cos x=sec x-1/tan x

Jawaban Terkonfirmasi

Sinx / 1 + cosx = secx – 1 / tanx

sinx / 1 + cosx = 1/cosx – 1 / sinx/cosx

sinx / 1 + cosx = 1 – cosx / cosx / sinx/cosx

sinx / 1 + cosx = 1 – cosx / sinx

sinx / 1 + cosx = (1 – cosx)(1 + cosx) / sinx (1 + cosx

sinx / 1 + cosx = 1 – cos²x / sinx (1 + cosx)

sinx / 1 + cosx = sin²x / sinx (1 + cosx)

sinx / 1 + cosx = sinx / 1 + cosx