Question

Prove that `sqrt((1+sintheta)/(1-sintheta))=csctheta+costheta`?

Answer 1

It is `sectheta+tantheta` not `csctheta+costheta`

Explanation:

`sqrt((1+sintheta)/(1-sintheta))`

= `sqrt((1+sintheta)/(1-sintheta)xx(1+sintheta)/(1+sintheta))`

= `sqrt((1+sintheta)^2/(1-sin^2theta))`

= `sqrt((1+sintheta)^2/cos^2theta)`

= `(1+sintheta)/costheta`

= `1/costheta+sintheta/costheta`

= `sectheta+tantheta`