If , find the values of all the other five trigonometric functions.
Given: sec x = -2
Given that:
So, x lies in IIIrd Quadrant. So, sin and cos will be negative but tan will be positive.
Now, we know that
Putting the values, we get
…(i)
We know that,
cos2 x + sin2 x = 1
Putting the values, we get
[given]
Since, x in IIIrd quadrant and sinx is negative in IIIrd quadrant
Now,
Putting the values, we get
=√3
Now,
Putting the values, we get
Now,
Putting the values, we get
Hence, the values of other trigonometric Functions are: