When cos(4θ)=cos(3θ). prove that θ=0, 2∏/7, 4∏/7, 6∏/7
Hence prove that cos(2∏/7), cos(4∏/7), cos(6∏/7) are the roots of 8x3+4x2-4x-1
The Attempt at a Solution
I can do the first part, but i have some difficulty in solving the second part. For the second part, I start by letting x= cosθ and try to solve the equation, however, i notice that i couldn't simplify the equation... so it is correct to let x=cosθ? How is the second part related to the first part? Thanks in advance.