Question

How do you simplify `tan(-x)cos(-x)`?

Answer 1

`-sinx`

Explanation:

`tan(-x)cos(-x)`
`=sin(-x)/cos(-x)cos(-x)`
`=sin(-x)`
`-sinx`

Answer 2

`-sinx`

Explanation:

`color(orange)"Reminders"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(tanx=(sinx)/(cosx))color(white)(a/a)|))) and color(red)(|bar(ul(color(white)(a/a)color(black)(sin(-x)=-sinx)color(white)(a/a)|)))`

`rArrtan(-x)cos(-x)=(sin(-x))/(cancel(cos(-x)))xxcancel(cos(-x))`

`=sin(-x)=-sinx`