Question

Provide a counterexample:
sinx = 1/sinx

Answer 1

sin x = 1/sin x

`sin^(2) x=1 \\ sin x= \pm1 \\ sinx=1 \ or \ sinx=-1 \\ x= sin^(-1) 1 \ or \ x= sin^(-1) (-1) \\ x= ( \pi )/(2) \ or \ x= (3 \pi )/(2)`