Question

Type the correct answer in the box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar. Simplify the expression. tan(-x) cos(-x) =

Answer 1

THE ANSWER IS : sin(-x)

Answer 2

The correct simplification of the given expression
`tan(-x){*}cos(-x)` is
`-sinx`.

Explanation:

The given expression is:

`tan(-x){*}cos(-x)`

Now, simplifying the above given expression, we get

=
`(sin(-x))/(cos(-x)){*}cos(-x)` (because
`tanx=(sinx)/(cosx)}`)

=
`sin(-x)`

Also, we know that
`sin({-\theta})=-sin{\theta}`, tehrefore teh expression becomes

=
`-sinx`

Hence, the correct simplification of the given expression
`tan(-x){*}cos(-x)` is
`-sinx`.