Explanation:
Let 'x' = cos Φ
then you have
4x^2 + 4x -1 = 0 now use quadratic formula to find
x = .207107 and -1.20711 ( throw out.....cos cannot be less than -1 )
cos Φ = .207107
then
arcos ( .207107 ) =Φ = 78.05 degrees and 281.95 degrees
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