# 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:

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