Question

Ctg x - tan x = 2cos^2 x-1 / sen x * cos x

Answer 1

Explicación paso a paso:

ctgx - tanx = 2cos^2 x-1 / sen x . cos x

cosx/senx - senx/cosx = 2cos^2 x-1 / sen x . cos x

(cosx . cosx - senx . senx)/senx . cosx = 2cos^2 x-1 / sen x . cos x

(cos^2 x - sen^2 x) senx . cosx =

2cos^2 x-1 / sen x . cos x

(cos^2 x - (1-cos^2 x))/senx.cosx =

2cos^2 x-1 / sen x * cos x

(cos^2 x - 1 + cos^2 x)/senx.cosx =

2cos^2 x-1 / sen x * cos x

(2cos^2 x - 1)/senx.cosx =

2cos^2 x-1 / sen x * cos x