help newb pls

-sin² x  ≤  -1

                       Multiply both sides by  -1  and swap the sign.

 sin² x  ≥  1

The biggest possible value of  sin x  is  1  , and the smallest possible value of  sin x  is  -1  .

So, the biggest possible value of  sin² x  is  1²  or  (-1)²  , which both equal  1  .

There is no way that  sin² x  can be bigger than  1  .

 sin² x   is not always   ≥  1

-sin² x   is not always   ≤  -1