Here is how I would approach the solution:
1- Attenuate the input. Use a resistor divider to generate Vout = 1/2 Vin. (This assumes that the sine wave input can tolerate the resistance load) Keep the resistor values smaller than 500kohms with a load capacitance of 10pF at the next stage. (Keep the bandwith greater than 115kHz for less than 0.5deg of phase change at 1kHz.
2- Use a noninverting amplifier with a feedback resistance from output to inverting input of R, and a resistance of 2*R from gound that can be connected to the inverting terminal or not connected. This will provide a gain of 3 when the resistor is connected and a gain of 1 when the resistor is not connected. Agian the bandwith must be greater than 115kHz for less than 0.5deg of phase change at 1kHz.
The overall effect will be gains of 3*0.5 = 1.5 and 1*0.5 = 0.5. The overall phase change will be the sum of the two phase changes and will be less than 1degree.
If you can handle high output resistance and have a low capacitance load at the output, and your power supplies can always handle the 3x gain, you could put the resistor divider at the output of the gain stage, rather than before. If you can not handle the load conditions at either point, use a buffer (again with sufficient bandwidth).