Find the solutions of the equation that are in the interval [0, 2𝜋)

Question

Find the solutions of the equation that are in the interval [0, 2𝜋).

8 cos² 𝛾 + 4 cos 𝛾 = 0

Answer 1

Alex, let "x" = cos(gamma) and think about this problem as 8x² + 4x = 0 you would factor and solve for "x" easily --this just has another bit at the end

(8x)(x + 1/2) = 0

The "another bit at the end" is figuring out when cos(gamma) = those values for "x" within the given range.

Hope this helps, but please let me know--Andrew

Answer 2

The problem seems to have changed since I began writing my solution.

The original problem was Solve: 8cos(2γ) +4cos(γ)=0

For the solution of the equation originally posted, please refer to my video.

The solution to 8cos²(γ) +4cos(γ)=0, is much easier, and I believe was already solved.