" If the axes are rotated through an angle "30^(@)," then the coordinate of "(2sqrt(3),-3)" in the new system are "

If the axes are rotated through an angle 30^(@), the coordinates of (2sqrt(3),-3) in the new system are

If the axes are rotated through an angle 45^(@) , the coordinates of (2sqrt(2), -3//sqrt(2)) in the new system are

If the axes are rotated through an angle 30^(0) , then find the coordinates of (0, 5) in the new system.

If the axes are rotated through an angle 30^(0) then find the coordinates of (-2,4) in the new system.

If the axes are rotated through an angle 60^(@) then the cpprdinates of a point (2,-4sqrt3) in the old system are

(i) If the axes are rotated through an angle 30^(0) , then find the coordinates of (1,2) in the new system . (ii) If the axes are rotated through an angle 30^(0) , then find the coordinates of (-2, 4) in the new system. (iii) When the axes are rotated through an angle (pi)/(2) , find the new coordinates of the point (alpha, 0)

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.