If and x lies in Quadrant III, find the values of cos x and cot x.

Given:

To find: cos x and cot x

Since, x is in III^rd Quadrant. So, sin and cos will be negative but tan will be positive.

We know that,

sin² x + cos² x = 1

Putting the values, we get

[given]

Since, x in III^rd quadrant and cos x is negative in III^rd quadrant

Now,

Putting the values, we get

= 2√6

Now,

Putting the values, we get

Hence, the values of other trigonometric Functions are: