Question

How do I simplify cosx(secx+cscx)?

Answer 1

`cosx(secx+cscx)`

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

`=> cancelcosx/cancelcosx + cosx/sinx`

`=> 1 + tanx`

Answer 2

`1+cotx`

Explanation:

`"using the "color(blue)"trigonometric identities"`

`•color(white)(x)secx=1/cosx" and "cscx=1/sinx`

`rArrcosx(1/cosx+1/sinx)larrcolor(blue)"distribute"`

`=1+cosx/sinxlarrcotx`

`=1+cotx`