Question

If cosecx + cotx = P then find cosec x - cotx =?

Answer 1

cosecx - cotx =1/p.

Answer 2

cosecx + cotx = P then find cosec x – cotx: cosec(x) + cot(x) = P → recall:

cosec(x) = 1/sin(x) , [1/sin(x)] + cot(x) = P → recall: cot(x) = cos(x)/sin(x) , [1/sin(x)] + [cos(x)/sin(x)] = P , [1 + cos(x)]/sin(x) = P , 1 + cos(x) = P.sin(x), cos(x) = P.sin(x) - 1