Question

$y = sinx + 1 \div sinx$

Answer 1

$y = sin x + \frac{1}{ \sin(x) } \\ y = \sin(x) + \csc(x)$

Answer 2

$y = \frac{ \sin(x) + 1}{ \sin(x) } \\ y = 1 + \frac{1}{ \sin(x) } \\ y = 1 + \cosec(x) \\ \\ y = \sin(x) + \frac{1}{ \sin(x) } \\ y = \sin(x) + \cosec(x)$