Question

cosecx-cotx=-5.7125 find value of x

Answer 1

try using the identity
cosec^x = 1 + cot^2 x

Answer 2

hint:
use identity
\(1+\cot^2x=\csc^2x\) =>
\(\csc^2x-\cot^2x=1\) =>
\((\csc x+\cot x)(\csc x-\cot x)=1\)
On substituting values, you will get an extra equation that enables you to solve for csc x or cot x.
Note that there is one solution between 0 and 2\(\pi\).