Question

Please help with this question

Answer 1

sin( -∅ )

- 1 / csc ( ∅ )

1 / csc ( -∅ )

Explanation:

Since sin(x) is and odd function (a function where f(-a) = f(a) ).

-sin( ∅ ) = sin( -∅ )

On the other hand, we know that sin( ∅ ) = 1 / csc ( ∅ )

Another odd function, so the same as before applies.

-sin( ∅ ) = -1 / csc ( ∅ )

-sin( ∅ ) = 1 / csc ( -∅ )