Question about the sine function

[trail tendon]

It’s true that |sinx|=<|x| for every xER. But can we also say that for any function z (even a multivariable one) that |sin(z)|=<|z|?

[thick oak]

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[sterile ginkgo]

Yes, since then z also plays a role of a variable.

[trail tendon]

Yeah that makes sense I guess

[sterile ginkgo]

Essentially: the initial inequality works for all real numbers. But the range of any real function is also a subset of real numbers.

[trail tendon]

Right right

That’s what I was thinking too

[sterile ginkgo]

So, the second inequality is at most equivalent to the first one and at least follows from it.

[trail tendon]

Just had to be sure

Alright thank youu

+close

[leaden citrus]

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[leaden citrus]

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