Question

Prove that `cosB/(1-sinB)=secB+tanB`?

Answer 1

Please see below.

Explanation:

`cosB/(1-sinB)`

= `cosB/(1-sinB)xx(1+sinB)/(1+sinB)`

= `(cosB(1+sinB))/(1-sin^2B)`

= `(cosB(1+sinB))/cos^2B`

= `(1+sinB)/cosB`

= `1/cosB+sinB/cosB`

= `secB+tanB`