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A value of θ ∈ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π 3 , 0 , for which θ + θ θ θ θ + θ θ θ θ + 6 cos 4 1 sin cos 6 cos 4 sin 1 cos 6 cos 4 sin cos 1 2 2 2 2 2 2 = 0, is :

1. 18 π
2. 9 π
3. 24 7 π
4. 36 7 π

Correct answer: 9 π

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