Question

An electric current, I, in amps, is given by I=cos(wt)+√2sin(wt) where w≠0 is a constant. What are the maximum and minimum values of I ?

Answer 1

The maximum value of the electric current is 1 + √2, and the minimum value is -1 - √2.

Step-by-step explanation:

The given equation for the electric current is I = cos(wt) + √2sin(wt), where w is a constant. To find the maximum and minimum values of I, we need to determine the maximum and minimum values of the cosine and sine functions. The maximum value of cos(wt) is 1, and the minimum value is -1. The maximum value of sin(wt) is √2, and the minimum value is -√2. Therefore, the maximum value of I is 1 + √2, and the minimum value is -1 - √2.