Question

How do you find the exact value of `csc^-1 2`?

Answer 1

`csc^(-1)2=30^@`

Explanation:

`csc^(-1)2` represent the angle `alpha` whose cosecant ratio is `2` i.e. `cscalpha=2`

or `sinalpha=1/cscalpha=1/2`

As `sin30^@=1/2`, `alpha=30^@`

i.e. `csc^(-1)2=30^@`