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Hyperbolic Trig proof watch

1. Prove . I'd rather not go into exponential, as there's a 2t. I've tried a couple of identities, none of which seem to make it easier to solve :/
2. (Original post by TSR561)
Prove . I'd rather not go into exponential, as there's a 2t. I've tried a couple of identities, none of which seem to make it easier to solve :/
3. (Original post by TSR561)
Prove . I'd rather not go into exponential, as there's a 2t. I've tried a couple of identities, none of which seem to make it easier to solve :/
Working from the RHS:

4. (Original post by Felix Felicis)
You mean ? In which case , right? Now whether that simplifies down to what you originally said...
5. (Original post by TSR561)
You mean ? In which case , right? Now whether that simplifies down to what you originally said...
No, sorry, typo, I meant and now with some factorisation, it is easy to show LHS = RHS.
6. (Original post by Felix Felicis)
No, sorry, typo, I meant and now with some factorisation, it is easy to show LHS = RHS.
7. (Original post by Khallil)
Not my day today at all.

Thanks.
8. (Original post by Felix Felicis)
No, sorry, typo, I meant and now with some factorisation, it is easy to show LHS = RHS.

(Original post by Khallil)
Got it.Thanks a lot, guys!
9. (Original post by Felix Felicis)
Not my day today at all.

Thanks.
(Original post by TSR561)
Got it.Thanks a lot, guys!
No prob

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