$\"\"$

Voltage drop across the inductor is $\"\"$ .

Where,

$\"\"$ is the peak current. \ \

$\"\"$ is the frequency. \ \

$\"\"$ is the inductance.

$\"\"$ is time. \ \

$\"\"$

Consider $\"\"$ .

Apply cosine sum identity : $\"\"$ .

$\"\"$

Therefore, the function $\"\"$ in terms of $\"\"$ is $\"\"$ .

$\"\"$

The function $\"\"$ in terms of $\"\"$ is $\"\"$ .