Question

senx (cosecx-senx)/tanx=ctgx-1

Answer 1

senx ( cscx - senx ) / tanx = ctg x -1
( senx * cscx - senx * senx ) / tanx = ctgx -1
( senx * cscx - senx * senx )  = tanx* ctgx - tanx
( 1 - senx * senx )  = 1 - tanx
cos^2x = 1 -tanx
tanx = 1 - cos^2x
tanx = sen^2x
senx / cosx = sen^2x
1 = senx * cosx