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

Answer:

The correct simplification of the given expression  $tan(-x){\times}cos(-x)$ is $-sinx$.

Step-by-step explanation:

The given expression is:

$tan(-x){\times}cos(-x)$

Now, simplifying the above given expression, we get

=$\frac{sin(-x)}{cos(-x)}{\times}cos(-x)$ (because $tanx=\frac{sinx}{cosx}}$)

=$sin(-x)$

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

=$-sinx$

Hence, the correct simplification of the given expression  $tan(-x){\times}cos(-x)$ is $-sinx$.