If $a+b+c=pi$, show $frac{sin a+sin b+sin c}{cos a+cos b+cos...












-1















If $a+b+c=pi$ and
$$frac{sin a+sin b+sin c}{cos a+cos b+cos c}=frac{k}{h}$$
then prove that
$$frac{4cos(a/2)cos(b/2)cos(c/2)}{1+4sin(a/2)sin(b/2)sin(c/2)}=frac{k}{h}$$




original problem image



This result is used to solve a problem based on coordinate geometry but I tried wrapping my head around with this.Help please!










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put on hold as off-topic by egreg, user91500, Saad, mrtaurho, Lord_Farin Jan 5 at 14:34


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – egreg, user91500, Saad, mrtaurho, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.









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    socratic.org/questions/…
    – lab bhattacharjee
    Jan 4 at 11:34






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    math.stackexchange.com/questions/176892/…
    – lab bhattacharjee
    Jan 4 at 11:35










  • thank you lab bhattacharjee
    – ssk
    Jan 4 at 11:37
















-1















If $a+b+c=pi$ and
$$frac{sin a+sin b+sin c}{cos a+cos b+cos c}=frac{k}{h}$$
then prove that
$$frac{4cos(a/2)cos(b/2)cos(c/2)}{1+4sin(a/2)sin(b/2)sin(c/2)}=frac{k}{h}$$




original problem image



This result is used to solve a problem based on coordinate geometry but I tried wrapping my head around with this.Help please!










share|cite|improve this question















put on hold as off-topic by egreg, user91500, Saad, mrtaurho, Lord_Farin Jan 5 at 14:34


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – egreg, user91500, Saad, mrtaurho, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 1




    socratic.org/questions/…
    – lab bhattacharjee
    Jan 4 at 11:34






  • 1




    math.stackexchange.com/questions/176892/…
    – lab bhattacharjee
    Jan 4 at 11:35










  • thank you lab bhattacharjee
    – ssk
    Jan 4 at 11:37














-1












-1








-1








If $a+b+c=pi$ and
$$frac{sin a+sin b+sin c}{cos a+cos b+cos c}=frac{k}{h}$$
then prove that
$$frac{4cos(a/2)cos(b/2)cos(c/2)}{1+4sin(a/2)sin(b/2)sin(c/2)}=frac{k}{h}$$




original problem image



This result is used to solve a problem based on coordinate geometry but I tried wrapping my head around with this.Help please!










share|cite|improve this question
















If $a+b+c=pi$ and
$$frac{sin a+sin b+sin c}{cos a+cos b+cos c}=frac{k}{h}$$
then prove that
$$frac{4cos(a/2)cos(b/2)cos(c/2)}{1+4sin(a/2)sin(b/2)sin(c/2)}=frac{k}{h}$$




original problem image



This result is used to solve a problem based on coordinate geometry but I tried wrapping my head around with this.Help please!







geometry trigonometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 4 at 11:35









Blue

47.7k870151




47.7k870151










asked Jan 4 at 11:27









sskssk

485




485




put on hold as off-topic by egreg, user91500, Saad, mrtaurho, Lord_Farin Jan 5 at 14:34


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – egreg, user91500, Saad, mrtaurho, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by egreg, user91500, Saad, mrtaurho, Lord_Farin Jan 5 at 14:34


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – egreg, user91500, Saad, mrtaurho, Lord_Farin

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    socratic.org/questions/…
    – lab bhattacharjee
    Jan 4 at 11:34






  • 1




    math.stackexchange.com/questions/176892/…
    – lab bhattacharjee
    Jan 4 at 11:35










  • thank you lab bhattacharjee
    – ssk
    Jan 4 at 11:37














  • 1




    socratic.org/questions/…
    – lab bhattacharjee
    Jan 4 at 11:34






  • 1




    math.stackexchange.com/questions/176892/…
    – lab bhattacharjee
    Jan 4 at 11:35










  • thank you lab bhattacharjee
    – ssk
    Jan 4 at 11:37








1




1




socratic.org/questions/…
– lab bhattacharjee
Jan 4 at 11:34




socratic.org/questions/…
– lab bhattacharjee
Jan 4 at 11:34




1




1




math.stackexchange.com/questions/176892/…
– lab bhattacharjee
Jan 4 at 11:35




math.stackexchange.com/questions/176892/…
– lab bhattacharjee
Jan 4 at 11:35












thank you lab bhattacharjee
– ssk
Jan 4 at 11:37




thank you lab bhattacharjee
– ssk
Jan 4 at 11:37










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