Question

If `(1-secx)/tanx=1/5`, find the value of `(1+secx)/tanx`?

Answer 1

`(1+secx)/tanx=-5`

Explanation:

We know `sec^2x-1=tan^2x`

or `(secx+1)(secx-1)=tan^2x`

or `tanx/(secx+1)=(secx-1)/tanx`

= `-(1-secx)/tanx`

= `-1/5`

Hence `(1+secx)/tanx=-5`