Question

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

Answer 1

`1+secx/tanx=-3`

Explanation:

`1-secx/tanx=5` can be written as

`1-(1/cosx)/(sinx/cosx)=5`

or `1-1/sinx=5`

or `1/sinx=1-5=-4`

Hence `1+secx/tanx`

= `1+(1/cosx)/(sinx/cosx)`

= `1+1/sinx`

= `1-4=-3`