Matematika

Pertanyaan

buktikanlah identitas trigonometri berikut:
buktikanlah identitas trigonometri berikut:

1 Jawaban

  • 1.
    sin x (cot x + tan x)
    = sin x ( cosx/sinx + sinx/cosx )
    = cos x + (sin²x/cosx)
    = cos²x/cosx + sin²x/cosx
    = (cos²x + sin²x)/cosx = 1/cos x

    b. (1+sinx)/cosx + cosx/(1+sinx)
    = (1+2sinx + sin²x +cos²x)/cosx( 1+sinx)
    = (2+2sinx)/cosx(1+sinx)
    = 2(1+sinx)/cosx(1+sinx)
    = 2/cosx
    = 2 sec x