SEARCH HOME
Math CentralQuandaries & Queries

search

Question from a student:

f(x)=x+sin(x)

to evaluate f(30)

use radians only or degrees

 

Hi,

In this question you are asked to add $x$ and $\sin(x).$ Regardless of the units that you use for $x$ the quantity $\sin(x)$ is a pure number, it has no units. You can't add this quantity to $x$ unless $x$ is also a pure number. That's the old expression "You can't add apples and oranges." Hence if $x$ is in the units degrees you can't add it to $\sin(x).$

A radian is a pure number, it has no units and hence if $x$ is measured in radians you can add $x$ and $\sin(x).$

To evaluate $x + \sin(x)$ when $x = 30$ set your calculator to radians and calculate $\sin(30).$ if you get the answer 0.50 then your calculator is set to degrees so try again.

Harley

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS