Describing the resulting current

[osafi52]

Suppose that the current flowing in an electric circuit is the sum (superposition) of two alternating currents, one given by I1 = 2 cos t and the other given by I2 = −2 sin t at time t. Carefully describe the resulting current in the circuit.

 

[skeeter]

Suppose that the current flowing in an electric circuit is the sum (superposition) of two alternating currents, one given by I1 = 2 cos t and the other given by I2 = −2 sin t at time t. Carefully describe the resulting current in the circuit.

What resources/directions have you been given to complete this problem?

Are you to rewrite $I_1+I_2$ in terms of a single trig function and describe the graph of the current sum in terms of max current, phase shift, period, etc.

... or can you just graph the sum using technology to do the above?