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I've done a little research, and have found three types of devices that are sometimes called resolvers:

1. brushless resolvers
2. variable reluctance resolvers
3. sin/cos encoders

It appears that brushless and variable reluctance resolvers are excited and measured the same way and should be indistinguishable by electronic means, whereas sin/cos encoders are driven with DC and produce sin and cosine signals only when the rotor is turning, but static voltages when it is stationary.