Can I get a detailed explanation as of how this is solved, not just the math work?
#csc^2x tan^2x - 1 = tan^2x#
1 Answer
Sure, I'll write the steps right next to the math as I'm doing them.
First, we have to know the reciprocal functions. For this problem, the ones you will need to know are:
You can also square both sides of each of these identities and get two more very similar ones:
Next, we have to know an identity. Using
If we rearrange the terms in this identity, we get the one that we need:
Now, here's the actual problem. We'll start with the left side, then manipulate it so that it will equal the right side:
That's it! We just proved that the left side of the equation equals the right side.
I hope this explanation was of help to you!