If and θ lies in Quadrant III, find the value of all the other five trigonometric functions.

Given:

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

We know that,

cos² θ + sin² θ = 1

Putting the values, we get

[given]

Since, θ in III^rd quadrant and sinθ is negative in III^rd quadrant

Now,

Putting the values, we get

Now,

Putting the values, we get

= -2

Now,

Putting the values, we get

Now,

Putting the values, we get

=√3

Hence, the values of other trigonometric Functions are: