Here are all the results I got tan(A+B+C)=a−b And (1+tan2A)(1+tan2B)(1+tan2C)=(1cosAcosBcosC)2 And cotA+cotB+cotC=0 How should I...
Here are all the results I got
How should I use these results?
Answer & Explanation
By Vieta’s formula, we have
Now you want to find the value of
so, . Similarly,
implies . Hence
Let , then
Now you need
Let so that and substitute as much as possible in the original cubic:
Rearrange to isolate x and obtain:
Now square this: