It depends on the voltage.
1HP is 745W, so 3/4HP is about 560W
At 120V, 1200W is 10A, 560W is under 5A, so the sum is well under 20A.
The problem may arise if the motor has a very large startup current and the circuit cannot handle the (potential) short term overload.
Most circuit breakers are made in such a way that they do not open immediately thee load exceeds the rated value, however they will open faster if the overload is greater.