Context: Given i
2 sin(377t  60°), determine at what time i
1.8 A.

The given equation is i = 2sin(377t - 60°). We need to find the time 't' when i = 1.8 A.

Step 1: Set the equation equal to 1.8 and solve for t.

1.8 = 2sin(377t - 60°)

Step 2: Divide both sides by 2.

0.9 = sin(377t - 60°)

Step 3: Take the inverse sine (also known as arcsin or sin^-1) of both sides to solve for the angle.

arcsin(0.9) = 377t - 60°

Step 4: Add 60° to both sides.

arcsin(0.9) + 60° = 377t

Step 5: Divide both sides by 377 to solve for t.

t = (arcsin(0.9) + 60°) / 377

Now, you can plug this into your calculator to find the exact time. Remember that your calculator might give you the answer in radians, so you might need to convert to degrees if necessary. Also, the arcsin function will give you an angle between -90° and 90°. Since the sine function is periodic, there will be multiple solutions for t. You might need to add or subtract multiples of the period (which is 2π/377 in this case) to get all possible solutions.