Question

Identify this problem plssss

Answer 1

The answer is cot(x)

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 ) = (1)/( \cot(x) )`

simplify

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

gives you

`\cot(x)`

Hope it helps!