I have the following problem:
If $ \cot{C} = \frac{\sqrt{3}}{7} $, find $ \csc{C} $
From my trig identities, I know that $ \cot{\theta} = \frac{1}{\tan{\theta}} $, and $ \csc{\theta} = \frac{1}{\sin{\theta}} $, and also $ \cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}} $
However, I can't seem to see how to connect the dots to get from cotangent to cosecant. I figure I might be able to use the last identity if I can somehow make $ \cos{C} = 1 $, but I don't really see how to do that, either.
This is homework, so please provide me with some pointers rather than complete solutions.
Thanks.