Q. 75.0( 2 Votes )

If , find the values of all the other five trigonometric functions.

Answer :

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:



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