Homework help (1 Viewer)

[Whitedream]

Can someone please help me with proving this equation?

If tanα, tanβ and tanγ are the roots of x^3-(a+1)x^2+(c-a)x-c=0, show that α+β+γ=pi/4.

 

[fan96]

One approach is to express in terms of , and by using the angle sum formula twice.

You can show that



Then find the sum of roots, sum of roots two at a time and product of roots and substitute in.

 

[Whitedream]

One approach is to express in terms of , and by using the angle sum formula twice.

You can show that



Then find the sum of roots, sum of roots two at a time and product of roots and substitute in.

Thx so much!! ^^