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

Given:


Since, θ is in IIIrd 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 IIIrd quadrant and sinθ is negative in IIIrd 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:



1