In Exercises 1-4, verify the identity algebraically. Use the table feature of a graphing utility to check

Question:

In Exercises 1-4, verify the identity algebraically. Use the table feature of a graphing utility to check your result numerically.
1. 1 / tan x + 1 / cot x = tan x + cot x
2 .1 / sin x - 1 / csc x = csc x - sin x
3. 1 + sin Θ / cos Θ + cos Θ 1 + sin Θ = 2 sec Θ
4. cos Θ cot Θ / 1 - sin Θ - 1 = csc Θ