Question

How do you verify `cosx/(1-sinx)= secx+tanx`?

Answer 1

`sec A = 1/cos A`
`tan A = sin A/cos A`
`sin^2 A + cos^2 A = 1`

`sec x + tan x = (1+sin x)/cos x = ((1+sin x)(1-sin x))/(cos x(1-sin x)) = (1-sin^2 x)/(cos x(1-sin x)) = cos x/(1-sin x)`