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: