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 IIIrd 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 IIIrd quadrant and cos x is negative in IIIrd quadrant
Now,
Putting the values, we get
= 2√6
Now,
Putting the values, we get
Hence, the values of other trigonometric Functions are: