Question

Identify this problem plssss

Answer 1

Answer:

The answer is cot(x)

Step-by-step explanation:

Greetings !

$\tan(x) \csc {}^{2} (x) - \tan(x)$

Rewrite using trig identity

$- \tan(x) + \csc {}^{2} (x) \tan(x)$

use the Pythagorean idea

$\csc {}^{2} (x) = 1 + \cot {}^{2} (x)$

$- \tan(x) + (1 + \cot {}^{2} (x)) \tan(x)$

simplify

$\cot {}^{2} (x) \tan(x)$

use basic trigonometric identity

$\tan(x ) = \frac{1}{ \cot(x) }$

simplify

$\cot {}^{2} (x) \frac{1}{ \cot(x) }$

gives you

$\cot(x)$

Hope it helps!