Answer:
The exact value of cotФ is
Explanation:
Given as:
The value of cosec Ф =

Let the value of cotФ = x
Now, According to question
∵ sinФ =
.....1
Put the value of cosec Ф =
in eq 1
i.e sinФ =

Or, sinФ =

Again
∵ cosФ =

So, cosФ =

Or, cosФ =

Or, cosФ =

∴ cosФ =

Again
we know that cotФ =

So, cotФ =

Or, cotФ =

As according to question sinФ lies in third quadrant
So, cotФ =

Hence, The exact value of cotФ is
. Answer