0
Let c represent cos x.
Then, we have,
4c2 - 2 = 0; whence,
4c2 = 2,
c2 = ½, and
c = ±√½ = ±½√2; that is,
cos x = ±½√2.
From this, it is evident that,
for 0 ≤ x < 360°, x = 45°, 135°, 225°, or 315°;
or, if you prefer,
for 0 ≤ x < 2π, x = ¼π, ¾π, 1¼π, or 1¾ π.
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You have to put your heart into it!
