Question

Find the degree measure corresponding to the following radian measures: `((2pi)/(15))^c` (ii) `(pi/8)^c` (iii) `(1/4)^c` (iv`-2^c` ) (v) `6^c` (vi) `((11)/(16))^c`

Answer 1

We know, `(pi)^c = 180^@`
`(i) ((2pi)/15)^c = (2**180)/15 = 24^@`
`(ii) ((pi)/8)^c = (180)/8 = 22.5^@`
`(iii) (1/4)^c = (1/4**180/pi) = (45/pi)^@`
`(iv) (-2)^c = (-2)**180/pi = (-360/pi)^@`
`(v) 6^c = 6**180/pi = (1080/pi)^@`
`(vi) (11/16)^c = 11/16**180/pi = (495/(4pi))^@.`