prove that n=((360^° )/∝)−1 n=number of multiple images


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Question Number 164821 by mathls last updated on 22/Jan/22

$p r o v e t h a t n = \frac{360^{°}}{\propto} - 1$ $n = n u m b e r o f m u l t i p l e i m a g e s$
Commented by mathls last updated on 22/Jan/22

$p l e a s e i h a v e p r o b l e m a n d n e e d t o y o u r$ $h e l p .$
Commented by MJS_new last updated on 22/Jan/22

$can you prove that c_{0} = \underset{j = 1}{\prod^{n}} x_{j}$ $if you {can}^{'} t, why ?$
Commented by mr W last updated on 23/Jan/22

$t h e f o r u m i s n o t g o o d p l a c e f o r s u c h$ $g e n e r a l o r b a s i c q u e s t i o n s, j u s t l i k e$ $h o w t o p r o v e E = {m c}^{2} . G o o g l e i s t h e$ $r i g h t p l a c e t o g o, a s i h a v e s u g g e s t e d .$ $b u t i g u e s s y o u w o n t f o l l o w m y$ $s u g g e s t i o n .$
Commented by mathls last updated on 23/Jan/22

$t h e r e i s n o t t h e p r o o f a b o v e .$
Commented by mr W last updated on 24/Jan/22

$i t h i n k i t d e p e n d s o n w h a t y o u t h i n k$ $i s a p r o o f . i t h i n k y o u c a n a l s o n o t$ $f i n d i n g o o g l e a ‘ ‘ {p r o o f}^{″} f o r$ $a (b + c) = a b + a c .$ $i t i s e a s y t o u n d e r s t a n d t h e n u m b e r$ $o f m u l t i p l e i m a g e s i n t w o a d j a c e n t$ $m i r r o r s w i t h a n a n g l e θ b e t w e e n t h e m .$ $i f θ d i v i d e s 360 °, t h e n w e c a n s e e t h a t$ $t h e w h o l e c i r c l e (360 °) c a n b e d i v i d e d$ $i n t o \frac{360 °}{θ} e q u a l p a r t s . e a c h p a r t i s t h e$ $i m a g e o f t h e o t h e r s . w e h a v e t h u s$ $t o t a l l y \frac{360 °}{θ} o b j e c t s . s i n c e o n e o b j e c t$ $i s t h e r e a l o b j e c t, t h e o t h e r s a r e j u s t$ $t h e r e f l e c t i o n o f t h e r e f l e c t i o n o f$ $t h e r e f l e c t i o n e t c . o f t h e r e a l o b j e c t .$ $t h a t m e a n s t h e n u m b e r o f i m a g e s$ $i s \frac{360 °}{θ} - 1 . i k n o w y o u w o n t t h i n k$ $t h i s i s a p r o o f .$
Commented by mr W last updated on 24/Jan/22

Commented by mathls last updated on 24/Jan/22

$t h a n k s d e a r t e a c h e r .$ $p r o v e t h a t v = 331 + 0.6 {T c}^{°}$
Commented by mr W last updated on 24/Jan/22

$p l e a s e {d o n}^{'} t p u t s u c h q u e s t i o n s$ $w i t h o u t s a y i n g w h a t t h e y a r e a b o u t!$
Commented by mathls last updated on 24/Jan/22

$s p e e d o f s o u n d i n a i r .$
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