Question

Polynomials. See attached files for question and working so far.
Question 12.

Answer 1

The only thing I'm stumped on it the deduce part. THere's 5 roots. one fo them is 0. The question asks to deduce whether the product of 4 of the roots is equal to 5. the tan0 must of disappeared somehow. Can you just ignore the tan0 in the equation or something?

Answer 2

on is the*

Answer 3

One of them*

Answer 4

Just rule out t=0 because you don't need it.

Answer 5

Why's that?

Answer 6

Are you seriously allowed to ignore the tan0?

Answer 7

Look at what you have to prove, tan(pi/5)*tan(2pi/5)*tan(3pi/5)*tan(4pi/5), this has nothing to do with tan(0), so just ignore it

Answer 8

Basically the question asks you to find the expressions for tan(kpi/5) where 1<=k<=4 so that when you multiply them out you'll get 5.

Answer 9

Yeah you can see that what I crossed out at the end was that I ignored the tan0 but then when I kept thinking about it, I felt something was wrong about ignoring it. So thanks for clearing this up for me @drawar ;)

Answer 10

You're welcome, if you feel something doesn't contribute to the solution, just throw it away.