Question

Buktikan identitas trigonometri cosec x + tan x + cotan x= cos x + 1/sin x cos x

Answer 1

Mungkin keliru soalnya

yg benar mungkin
cosec x + tan x + cotan x= [cosec x] + 1/sin x cos x
1/sin x  + sin x /cos x + cos x / sin x = 1/sin x + 1/sinxcox
(1+cos x) /sin x + sin x /cos x = 1/sin x + 1/sinxcox
kali silang
(cosx + cos²x + sin²x ) / sinxcos = 1/sin x + 1/sinxcox
(1+cos x )/ sinxcos = 1/sin x + 1/sinxcox
cosx/sinxcosx + 1/sinxcosx =1/sin x + 1/sinxcox  
1/sin x + 1/sinxcosx = 1/sin x + 1/sinxcox  klop sama ruas kiri dan kanan

terbukti