(a)

The function is .

Where the voltage is in volts and the time is in seconds.

The general form of sine function is .

Where is amplitude and period is .

Compare the function with general form of sine function.

Here amplitude is .

The period is .

Therefore, the amplitude is and time period is .

(b)

Graph:

Graph the function :

(c)

The function is .

Find the current when the resistance is .

Ohms law : .

Substitute .

.

Therefore, the current is .

(d)

The function is .

Where, the voltage in amps and the time in seconds.

The general form of sine function is .

Where, is amplitude and period is .

Compare the function with general form of sine function.

Here amplitude is .

The period is .

Therefore, the amplitude is and time period is .

(e)

Graph:

Graph the function :

(a) The amplitude is and period is .

(b)

Graph of the function is

(c) The current is .

(d) The amplitude is and period is .

(e)

Graph of the function is