If $a+b+c=pi$, show $frac{sin a+sin b+sin c}{cos a+cos b+cos...
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
edited Jan 4 at 11:35
Blue
47.7k870151
asked Jan 4 at 11:27
sskssk
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.
add a comment |
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
edited Jan 4 at 11:35
Blue
47.7k870151
asked Jan 4 at 11:27
sskssk
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.
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
add a comment |
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
edited Jan 4 at 11:35
Blue
47.7k870151
asked Jan 4 at 11:27
sskssk
485
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
geometry trigonometry
edited Jan 4 at 11:35
Blue
47.7k870151
asked Jan 4 at 11:27
sskssk
485
edited Jan 4 at 11:35
Blue
47.7k870151
asked Jan 4 at 11:27
sskssk
485
edited Jan 4 at 11:35
Blue
47.7k870151
edited Jan 4 at 11:35
Blue
47.7k870151
edited Jan 4 at 11:35
Blue
47.7k870151
47.7k870151
asked Jan 4 at 11:27
sskssk
485
asked Jan 4 at 11:27
sskssk
485
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
add a comment |
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
add a comment |
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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