Question

Find the value of tan(2019π-x)

Answer 1

Answer:

The value of Tan(2019π - x) is equals to -Tanx

Answer 2

The value of  $tan(2019\pi -x)$ is $(-tanx)$.

Step-by-step explanation:

Given:

The value of  $tan(2019\pi -x)$.

To Find:

The value of  $tan(2019\pi -x)$.

Solution:

As given,The value of  $tan(2019\pi -x)$.

$tan(2019\pi -x)$

$=tan(2018\pi +(\pi -x))$

$=tan(1009\times2\pi +(\pi -x))$

               [ $tan(1009\times2\pi +(\pi -x))$  is greater that $2\pi$.Therefore, it is required to  divide $2\pi$  by and get the remainder. When $(1009\times2\pi +(\pi -x))$ is divided by $2\pi$ the remainder is $(\pi -x).$ ]

$=tan(\pi -x)$  

                [ $tan(\pi -x)$ fall  in second quadrant. In the second  quadrant,   "tan" is negative.]

$=-tanx$    

Thus, the value of  $tan(2019\pi -x)$ is $(-tanx)$.

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