Buktikan bahwa (tan x+sin x)(1-cosx)=sin ²xtan x
Matematika
Nza23
Pertanyaan
Buktikan bahwa
(tan x+sin x)(1-cosx)=sin ²xtan x
(tan x+sin x)(1-cosx)=sin ²xtan x
1 Jawaban
-
1. Jawaban kaksyaif
(tan x+sin x)(1-cosx)
(sinx/cosx + sinx/1) (1-cosx)
(sinx +sinx.cosx) (1-cosx)
-----------------------
cosx
sinx (1+cosx)(1-cosx)
-----
cosx
tanx. (1-cos^2 x)
tanx. sin^2 x
sin^2 x. tanx