Question #58215

: The domain of the sine function is ____.

A: All real numbers
B: [-1, 1]
C: 2π
D: π

Expert's answer

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Answer on Question #58215 – Math – Trigonometry

Question

The domain of the sine function is _____.

A: All real numbers

B: [-1, 1]

C: 2π2\pi

D: π\pi

Solution

The domain of function f(x)f(x) is all values that xx can take on.

The domain of sine is all real numbers (other notations: domain is R=(,+)\mathbb{R} = (-\infty, +\infty)).

If f(x)=sin(x)f(x) = \sin(x), then <x<+-\infty < x < +\infty.

**Answer**: A. All real numbers.


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