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The sum of all values of ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π ∈ θ 2 , 0 satisfying sin 2 2 θ + cos 4 2 θ = 4 3 is -

1. 4 5 π
2. 2 π
3. π
4. 8 3 π

Correct answer: 2 π

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