Question

Simplify `cotx(secx+tanx)`?

Answer 1

Please see below.

Explanation:

`cotx(secx+tanx)`

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

= `cosx/sinx xx 1/cosx+cosx/sinx xx sinx/cosx`

= `cancelcosx/sinx xx 1/cancelcosx+cancelcosx/cancelsinx xx cancelsinx/cancelcosx`

= `1/sinx+1`

= `cscx+1`