# Radian measure in sin in R?

I want to calculate the following in R:

sin(52.517°)

and this should be equal to 0.79353. But when I code

sin(52.517)

I get

0.777119

So how can I get the 0.79353. I am not good in math, but I know something is not working with degrees and the radian measure here in R.

## Answers

it works

1 degree =0.0174532925 radians sin(52.517*0.0174532925) [1] 0.7935339

**EDIT**

refered from here

degrees.to.radians<-function(degrees=45,minutes=30) { if(!is.numeric(minutes)) stop("Please enter a numeric value for minutes!\n") if(!is.numeric(degrees)) stop("Please enter a numeric value for degrees!\n") decimal<-minutes/60 c.num<-degrees+decimal radians<-c.num*pi/180 radians } sin(degrees.to.radians(52.517,0)) [1] 0.7935339

From the help page on sin which you can read by typing in ?sin in the R console:

Angles are in radians, not degrees (i.e., a right angle is π/2).

So by default, *the trigonometric functions take radians as input and not degrees*. To get the sin(52.517) you need to convert those degrees to a radian measure first:

52.517 degrees = 52.517 * (pi/180) = sin(52.517*(pi/180)) = 0.916...

If you do:

sin(52.517*(pi/180))

you get the wanted 0.7935339.