Question: Solve each of the following trigonometric equations. The solutions should be between \(0^{\circ}\) and \(360^{\circ}\).

1. \(2 \cos x \tan x+1.414=0\)
2. \(2 \tan A=\sec ^{2} A\)
3. \(2 \sin ^{2} x+\cos x+1=0\)
4. \(\cos 2 x-\sin x=0\)
5. \(\sec ^{2} x-2 \tan x-4=0\)
6. \(\csc ^{2} x-3 \cot ^{2} x=0\)

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