Find the radian measure corressponding to each of the following degree measure :
`15^(@)`

Options

A.
`(pi/12)^(c )`

B.
`(pi/10)^(c )`

C.
`(pi/6)^(c )`

D.
`(pi)^(c )`

Answer

A

Explanation

(i) `180^(@) = pi^(c ) = 1^(@) = (pi/180)^(c )`
`rArr 15^(@) = (pi/180 xx 15)^(c ) = (pi/12)^(c )`
Hence, `15^(@) = (pi/12)^(c )`.
(ii) `180^(@) = pi^(c ) rArr 1^(@)= (pi/180)^(c )`
`rArr 240^(2) = (pi/180 xx 240)^(c ) = (4pi/3)^(c )`
(iii) `180^(@)= pi^(c ) rArr 1^(@) = (pi/180)^(c )`
`rArr - 37^(@) 30' = {pi/180 xx ((-75)/(2))}^(c )`
`[-37^(@) 30' = - (37'1/2)= - (75/2)^(@ ) ]`
`= ((-5pi)/(24))^(c )`.
Hence, `(-37^(@)30') = ((-5pi)/(24))^(c )`.