CBSE Class 12-science Answered
What will be the solution of Sin(3x) = 1/2 in the interval (pi, 2pi)
Asked by anushankdagar95 | 23 Oct, 2019, 08:55: AM
Expert Answer
sin(3x) = 1/2 = sin [2nπ + (π/6)]= sin [(12n+1)π/6]
3x = (12n+1)π/6 or x = (12n+1)π/18 ..................(1)
if we need x in the interval ( π , 2π ) , n =2 in eqn. (1), we get, x = (25/18)π
we have, sin[ (2n+1)π - θ ] = sinθ
hence, sin[ (2n+1) π - (π/6) ] = sin [ 2n π + (5/6)π ] = (1/2)
hence 3x = 2n π + (5/6)π or x = (12n+5)π/18 ..................(2)
if we need x in the interval ( π , 2π ) , n =2 in eqn. (2), we get x = (29/18)π
Hence we get solution, x = (25/18)π or (29/18)π ..........................(3)
Answered by Thiyagarajan K | 23 Oct, 2019, 09:39: AM
CBSE 12-science - Physics
Asked by sp6201522801 | 28 Dec, 2022, 10:09: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by sp6201522801 | 25 Dec, 2022, 09:33: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by carnivalgirl8421 | 29 Jun, 2022, 10:03: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by mb2022138 | 25 May, 2022, 08:37: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by ranjanpriy65 | 01 Apr, 2022, 12:32: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by nailemwangjen79 | 14 Jul, 2021, 09:03: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by prakashseema091 | 31 May, 2021, 03:18: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by deeptykundu03 | 20 May, 2021, 12:28: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by adastutorials | 29 Apr, 2021, 03:39: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by goyalpavitarta | 27 Apr, 2021, 01:19: PM
ANSWERED BY EXPERT