First you need to get the radius of the circle. We do that by using the (x,y) point. So we have (-7, -4).
To get the radius, we us the following formula.
r = √(-7)² + (-4)²
This reads:
radius = square root of -7 to the power of 2 plus -4 to the power of 2.
I am new here and I am not sure if they support latex. Other wise I would of used latex.
Ok so r (radius) = r = √(-7)² + (-4)² = √65
r = √65
Now we have our radius we can find the values for sin csc and cot
sin = y / r
csc = r / y
cot = x / y
I will do the first one for you which is sin.
sin = y / r = -4 / √65
The above is saying sin = y divided by r = -4 divided by the square root of 65.
If you need help with the others let me know.