Verify csc^2x - 1

Question

please show me any steps you are able to

Answer 1

Remember csc(x) = 1/sin(x). Also notice that you have two terms, csc^2(x) and 1, that are subtracted. So, rewrite this as:

 

1/(sin^2(x)) - 1.

 

Now, make a common denominator and combine the two terms. In the new numerator you should have an identity that you have seen before.