Identify this problem plssss

Question

asked Mar 20, 2023 77.5k views

1 Answer

Pau · Answer 1 · 2023-03-26T16:02:47+0000

Answer:

The answer is cot(x)

Explanation:

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

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

$\tan(x ) = (1)/( \cot(x) )$

simplify

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

gives you

$\cot(x)$

Hope it helps!