Question

How do you solve the equation `csctheta=-1.57` for `0<theta<2pi`?

Answer 1

Since `-1.57` is an approximation of `-pi/2`, make the substitution:

`csctheta=-pi/2`

`sintheta=-2/pi`

`theta=sin^-1(-2/pi)`

`theta approx 5.5931`