Start the learning process at home. Familiarize yourself with traditional whining music by listening to some reggae. Dance freestyle to it to get a sense of the rhythm and the regularity of the beat.
Move your hips rhythmically, a vital part of whining, especially in the "Egyptian Whine" dance. Without music, stand in front of a mirror and practice moving your hips in isolation from side to side at a regular pace and in a fluid motion.
Move your hips in front of your mirror, this time to music. Move in time with the beat.
Watch instructional and music videos to familiarize yourself further with whining up. Instructional videos online demonstrate different, advanced types of whining, including the "Dutty Whine" and "Egyptian Whine" dances. To get a sense of informal, freestyle whining, watch dancers in reggae artists' music videos.
Practice whining along to the music videos. Mirror the dancers' moves, within your own limitations, or develop your own variation on them. Dance to instructional videos once you feel confident enough. Listen to what the instructor is saying as you dance and copy the dancers' moves to the best of your ability. Do not attempt any moves beyond your physical capability. The "Dutty Whine" has an advanced level and a more moderate version.
Invite friends to practice your moves with you. Watch one another whining to music. Give feedback on where each person is going wrong and what she is doing right.
Go with your friends to a nightclub that plays reggae music and practice whining, as well as watching other people whine.