Can a reanimated Rinnegan user use the Outer Path to revive someone? The reanimated Nagato used the Six Paths Techniques while fighting Naruto and Killerbee. When Madara was reanimated, he thought he had been revived by Nagato as planned. Can Kabuto or Tobi not make Nagato use the Rinnegan's Outer Path to revive someone, such as Madara, so that they would not need to use the Edo Tensei on him?

Please disregard the fact that Kabuto wanted to control Madara, so he had to reanimated him using Edo Tensei.
The reanimated Nagato can use the Outer Path to revive someone. Kabuto was even planning to make use of this to capture Naruto and Bee, without letting Tobi know. 

Chapter 551 shows that Kabuto's plan was to have Nagato temporarily kill Naruto and Bee by pulling their souls with Ningendo (Human Path), then hide their souls and bodies with the Jigokudo (Naraka Path), have Nagato come to Kabuto's hideout, where he can revive them using the Outer Path. (See image below.)

He doesn't use it on Madara, because he won't be able to control Madara if revived through Edo Tensei, as you mentioned.