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Question Number 157575 by quvonch3737 last updated on 24/Oct/21

  (√((1/2)βˆ’(1/2)(√((1/2)+(1/2)cos 𝛂))))  (Ξ <𝛂<2Ξ )

$$ \\ $$$$\sqrt{\frac{\mathrm{1}}{\mathrm{2}}βˆ’\frac{\mathrm{1}}{\mathrm{2}}\sqrt{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{cos}\:\boldsymbol{\alpha}}} \\ $$$$\left(\Pi<\boldsymbol{\alpha}<\mathrm{2}\Pi\right) \\ $$

Commented by mr W last updated on 24/Oct/21

this is not a question!  besides if you ask for help and other  people have helped you, you should  at least give a feedback.

$${this}\:{is}\:{not}\:{a}\:{question}! \\ $$$${besides}\:{if}\:{you}\:{ask}\:{for}\:{help}\:{and}\:{other} \\ $$$${people}\:{have}\:{helped}\:{you},\:{you}\:{should} \\ $$$${at}\:{least}\:{give}\:{a}\:{feedback}. \\ $$

Commented by quvonch3737 last updated on 24/Oct/21

no???

$${no}??? \\ $$

Commented by mr W last updated on 25/Oct/21

what do you mean with β€œno???”?  if you mean i didnβ€²t say the true,   did you response to answer in    Q157379? did you response to   answer to this post?

$${what}\:{do}\:{you}\:{mean}\:{with}\:``{no}???''? \\ $$$${if}\:{you}\:{mean}\:{i}\:{didn}'{t}\:{say}\:{the}\:{true},\: \\ $$$${did}\:{you}\:{response}\:{to}\:{answer}\:{in}\:\: \\ $$$${Q}\mathrm{157379}?\:{did}\:{you}\:{response}\:{to}\: \\ $$$${answer}\:{to}\:{this}\:{post}? \\ $$

Answered by ajfour last updated on 25/Oct/21

i think simplify:  (√((1/2)βˆ’(1/2)∣sin ((Ξ±/2))∣))  =(√((1βˆ’cos ((Ξ±/2)βˆ’(Ο€/2)))/2))  =∣sin ((Ξ±/4)βˆ’(Ο€/4))∣

$${i}\:{think}\:{simplify}: \\ $$$$\sqrt{\frac{\mathrm{1}}{\mathrm{2}}βˆ’\frac{\mathrm{1}}{\mathrm{2}}\mid\mathrm{sin}\:\left(\frac{\alpha}{\mathrm{2}}\right)\mid} \\ $$$$=\sqrt{\frac{\mathrm{1}βˆ’\mathrm{cos}\:\left(\frac{\alpha}{\mathrm{2}}βˆ’\frac{\pi}{\mathrm{2}}\right)}{\mathrm{2}}} \\ $$$$=\mid\mathrm{sin}\:\left(\frac{\alpha}{\mathrm{4}}βˆ’\frac{\pi}{\mathrm{4}}\right)\mid \\ $$

Commented by ajfour last updated on 25/Oct/21

and to know if its really okay  some comprehendable  feedback usually is helpful...  Yes   or   No ???

$${and}\:{to}\:{know}\:{if}\:{its}\:{really}\:{okay} \\ $$$${some}\:{comprehendable} \\ $$$${feedback}\:{usually}\:{is}\:{helpful}... \\ $$$${Yes}\:\:\:{or}\:\:\:{No}\:??? \\ $$

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