show-that-n-N-sin-n-x-cos-n-x-1-and-cosh-n-x-sinh-n-x-1-Hint-use-Induction-method-

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 ?