Answers:

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Step-by-step explanation
The terminal point is located at (x,y) = (2,-7)
Let's calculate the distance from the origin to the terminal point.

From there we would write the following:

Side notes:
- The terminal point (2,-7) is in quadrant 4. This is the southwest quadrant.
- Cosine is positive in quadrant 4, while tangent and cosecant are negative in this quadrant.
- Rationalizing the denominator may be optional.
- x = adjacent
- y = opposite
- r = hypotenuse
- cosecant is the reciprocal of sine