In-ABC-cot-A-2-cot-B-2-cot-C-2-Q-Prove-that-cyc-sin-A-2-n-cyc-cos-A-2-n-Q-n-N-

Question Number 176128 by Shrinava last updated on 13/Sep/22

In △ ABC, \cot \frac{A}{2}, \cot \frac{B}{2}, \cot \frac{C}{2} \in Q

Prove that :

{(\prod_{cyc} \sin \frac{A}{2})}^{n} + {(\prod_{cyc} \cos \frac{A}{2})}^{n} \in Q, \forall n \in N

Commented by Rasheed.Sindhi last updated on 13/Sep/22

Shrinava sir, a r e y o u a n o l d m e m b e r

o f t h e f o r u m ? I m e a n h a v e y o u a

d i f f e r e n t I D i n t h e p a s t ?