Solve \(\frac{{{\partial ^2}z}}{{\partial x\;\partial y}} = \sin x\sin y\) for which q = -2 sin y when x = 0 and z = 0 when y is an odd multiple of π/2.

1
z = (1 + cos y) cos x
2
z = (1 + cos x) cos y
3
z = (1 - cos x) cos y
4
z = (1 - cos y) cos x

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