show that ∃ n ∈ N^(+ ) : sin^n x + cos^n x = 1 and cosh^n x − sinh^n x = 1. Hint: use Induction method.


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Question Number 67664 by Rio Michael last updated on 29/Aug/19

$s h o w t h a t \exists n \in N^{+} : {s i n}^{n} x + {c o s}^{n} x = 1 a n d {c o s h}^{n} x - {s i n h}^{n} x = 1 .$ $H i n t : u s e I n d u c t i o n m e t h o d .$
Commented by Rasheed.Sindhi last updated on 30/Aug/19

$2 \in N \Rightarrow \sin^{2} x + \cos^{2} x = 1$
Commented by Rio Michael last updated on 30/Aug/19

$t h a n k s b u t s i r d o w e h a v e a n y b e t t e r w a y t o$ $p r o v e ?$
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