How do I compare ${sin 1}^{\circ}$ $sin 1^@$ and $sin 1$ $sin1$ ?

Question

How do I compare ${sin 1}^{\circ}$ $sin 1^@$ and $sin 1$ $sin1$

3696 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-23T15:42:09

${sin 1}^{\circ} = 0.0174524$ $sin1^@=0.0174524$ and $sin 1 = 0.84147$ $sin1=0.84147$

There are three systems for measurement, namely

Degree , where a circle is divided in $360$ $360$ parts each part called $1$ $1$ degree and written as $1^{\circ}$ $1^@$ . Each degree can be divided in $60$ $60$ minutes and written as $60'$ and each minute in $60$ seconds written as $1''$ . $sin1^@=0.0174524$
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. $sin1^g=sin0.9^@=0.015707$
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 $sin1=sin(180/pi)^@=sin57.29578^@=0.84147$