Question

How do I compare `sin 1^@` and `sin1`?

How do I compare `sin 1^@` and `sin1`

Answer 1

`sin1^@=0.0174524` and `sin1=0.84147`

Explanation:

There are three systems for measurement, namely

1. Degree , where a circle is divided in `360` parts each part called `1` degree and written as `1^@`. Each degree can be divided in `60` minutes and written as `60'` and each minute in `60` seconds written as `1''`. `sin1^@=0.0174524`

2. Gradian , where a circle is divided in `400` parts each part called `1` grad and written as `1^g`. Each gradian is divided into `100` grad minutes, and each centigrad into `100` grad seconds. This unit is rarely used. `sin1^g=sin0.9^@=0.015707`

3. Radian, which divides circle in `2pi` units. This unit in fact is related to arc size, where an angle of `x` radians makes an arc of `rx` length on the circle of radius `r`. We just write it as a number i.e. an angle `1` radian and is equal to `(360/(2pi))^@=(180/pi)^@=57.29578^@` or `(400/(2pi))^g=(200/pi)^g` and `sin1=sin(180/pi)^@=sin57.29578^@=0.84147`