1.

मूल्यांकन कीजिए `sin{(pi)/(3)-sin^(-1)(-(1)/(2))}`

Answer» माना `sin[(pi)/(3)-sin^(-1)(-(1)/(2))]`
`=sin[(pi)/(3)-{-sin^(-1).(1)/(2)}].`
`" "[because sin^(-1)(-x)=-sin^(-1)x]`
`=sin[(pi)/(3)+sin^(-1)(sin.(pi)/(6))]`
`" "[because (pi)/(6) in [-(pi)/(2),(pi)/(2)]]`
`=sin[(pi)/(3)+(pi)/(6)]`
`=sin.(pi)/(2)=1.`


Discussion

No Comment Found