Trigonometry help??

Question

Prove than (1-cosx)/sinx is the same as tan x/2?

so far ive got:

(1-cosx)/sinx = 0

1/sinx - tanx = 0

Am i heading in the right direction?? Could anyone help me find the answer?

Thanks

Answer 1

do not use
=0
Use half formula for sinx and cosx

(sin^2 x/2+cos^2 x/2-cos^2 x/2+sin^2 x/2) / (2sin x/2 cos x/2)

=(2sin^2 x/2 )/(2sin^2 x/2 cos^2 x/2)
=(sin x/2 )/(cos x/2)
=tan x/2

Answer 2

yes the right direction, the answer would be 1/inx+tan=x/2