If ∑ = ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + π ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π − + π 13 1 r 6 r 4 sin 6 ) 1 r ( 4 sin 1 = a 3 + b, a, b ∈ Z, then a 2 + b 2 is equal to:

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8

If ∑ = ⎪ ⎪ ⎭ ⎪ ⎪ ⎬ ⎫ ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + π ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π − + π 13 1 r 6 r 4 sin 6 ) 1 r ( 4 sin 1 = a 3 + b, a, b ∈ Z, then a 2 + b 2 is equal to:

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