Check out the attached image below for the steps on how to do this derivation.
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Some notes:
- For line 2, I used the identity
- For line 7, I applied the reciprocal to both sides.
- For line 8, I used the identity
- For line 9, I used the identty
which is a rearrangement of
- For lines 1 through 6, I'm isolating tan^2, so that I can later transform that into cot^2, which leads to csc^2. All of this is done through the identities mentioned above.
