Calculate the angle of (a) `1^(@)` (degree) (b) 1' (minute of arc of are min) and (c ) 1''(secondof arc of arc sec) in radian. Use `360^@ =2 pi rad., 1^@ = 60'` and 1' = 60''.

Explanation

(a) `1^@ = (2pi)/(360) rad = (pi)/(180) rad`
` =(22)/(7xx180) rad = 1.746xx10^(-2) rad`
(b) `1 are min = 1' = (1^@)/(60) = (1)/(60)xx(pi)/(180)rad`
` = 2.91xx10^(-4) rad`
(c ) `1 arc sec =1'' = (1')/(60) = (1^@)/(60xx60)`
`=(1)/(60xx60) xx(pi)/(180)rad = 4.85xx10^(-6) rad.`]