- #1

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- Summary:
- Trig functions and their input argument

Hello,

Periodic trigonometric functions, like sine and cosine, generally take an angle as input to produce an output. Functions do that: given an input they produce an output.

Angles are numerically given by real numbers and can be expressed either in radians or degrees (just two different units). We know that ##\pi/4## and ##45^\circ## are the exact same angle even if they numerically different. How can I clearly explain that the function ##sin(x)## produces the same numerical result, i.e. ##sin(\pi/4) = sin(45^\circ)## even if, numerically, the inputs are the same?

A function, in general, produced a different numerical output if he input is provided a different unit. For example, the circumference ##C=2\pi r## will be different in ##r## is expressed either in ##cm## or ##m##. But the trig functions don't...

Thanks!

Periodic trigonometric functions, like sine and cosine, generally take an angle as input to produce an output. Functions do that: given an input they produce an output.

Angles are numerically given by real numbers and can be expressed either in radians or degrees (just two different units). We know that ##\pi/4## and ##45^\circ## are the exact same angle even if they numerically different. How can I clearly explain that the function ##sin(x)## produces the same numerical result, i.e. ##sin(\pi/4) = sin(45^\circ)## even if, numerically, the inputs are the same?

A function, in general, produced a different numerical output if he input is provided a different unit. For example, the circumference ##C=2\pi r## will be different in ##r## is expressed either in ##cm## or ##m##. But the trig functions don't...

Thanks!