Simplify the expression Simplify the expression 1 sin2 xsin

Simplify the expression:

Simplify the expression: 1 - sin^2 x/sin x - cscx

Solution

1 - sin ² x
given -------------------
sin x - csc x
1 - sin ² x
-------------------- since cosecx = 1/sinx
sin x - 1/sin x

sinx( 1 - sin ² x)
= ------------------------
sin ² x - 1

- ( sin ² x - 1 ) sin x
= ----------------------------
sin ² x - 1
Answer is ==> - sin x