Question

What does `sin(arccos(4))-cot(arc csc(5))` equal?

Answer 1

`sin(arccos4)-cot(arc csc5)` oes not exist.

Explanation:

ad the range of `costheta` is `[-1,1]` i.e. `costheta` can take values only between `-1` and `1` including `-1` and `1`,

`sin(arccos(4))` does not exist.

Hence `sin(arccos4)-cot(arc csc5)` oes not exist.

However, `arccsc(5)=arcsin(1/5)=11.537^o` or `168.463^o`.

Hence `cot(arc csc5)=cot11.537^o=4.899` or

`cot(arc csc5)=cot168.463^o=-4.899`