1. What is the exact value of

Question

csc^2 210degrees - cot^2 210degrees?

2. Can you make a generalization about the value of csc^2 theta - cot^2 theta?

I'm not sure what to do, I'm familiar with the terms but not sure how to go about solving the question.

Answer 1

1/sin^2 210
well 210 is 180 + 30
so it is 30 degrees below the y axis in quadrant 3
sin 210 = -1/2
1/(-1/2)^2 = 4

That should get you started

Answer 2

1/sin^2 - cos^2/sin^2
(1-cos^2)/sin^2
sin^2/sin^2
1