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The equation sin(z) = 10 has

1. no real or complex solution
2. exactly two distinct complex solutions
3. a unique solution
4. an infinite number of complex solutions

Correct answer: an infinite number of complex solutions

Solution

The sine function is periodic and can take on any complex value, leading to an infinite number of complex solutions for the equation sin(z) = 10, as it can be expressed in terms of its periodic nature.

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