Question

Someone help me please correct answers only thank you appreciated will give brainliest

Answer 1

This just simplifies to $-tan(x)$.

We are given 
$\dfrac{tan(-x)csc(-x) }{sec(-x)cot(-x)}$.

Let's write each trig function in terms of sine and cosine.

$\dfrac{ \frac{sin(-x)}{cos(-x)} \frac{1}{sin(-x)}}{ \frac{1}{cos(-x)} \frac{cos(-x)}{sin(-x)} }$

Cancel sin(-x) in the numerator and cos(-x) in the denominator.

$\dfrac{\frac{1}{cos(-x)}}{\frac{1}{sin(-x)}}$

Simplify.

$tan(-x)=-tan(x)$