If x = sin 130° cos 80°, y = sin 80° cos 130°, and z = 1+ xy, then which of the following is true?

1
x > 0, y < 0 and 0 < z < 1 
2
x > 0, y < 0 and z > 1
3
x < 0, y < 0 and 0 < z < 1
4
x > 0, y > 0 and z > 0

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