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4 cos² theta+ 4 cos theta= 1

1 Answer

5 votes

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

User Ellyn
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