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Are you sure there is only one solution for cos(x)=0?
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both have an infinite number of solutions. cos(x^2) = 0 has broader distribution of solutions compared to the linear and equally spaced solutions of cos(x) = 0. cos(x^2) = 0 is more dense in unique values.
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That's correct.
But can one argue that one infinity is larger than the other? They're both infinite...
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On what domain, sir?
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On what domain, sir?
Infinite domain. The real number line.
I should have been clearer, indeed.
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yes, it has one positive and one negative. while cos(x)=0 only has one.