sinusoids

Sinusoid is a signal that has the form of the sine or cosine function.

Sine Function

Cosine Function

The waveform repeats in certain interval we call it the period (T).

Sinusoid can be form voltage and current which is we usually used in our field.

EXAMPLE:

                   (11.66-j9)    /    (26.06 ∠22.47°)

to get the final answer, transform (11.66-j9) to a polar form so that it is easy because our denominator is in polar form. It is easy to multiply or divide a complex number when it forms in polar form.

                   (11.66-j9)  ----->  (14.73∠-37.66°)

so,       

                   (14.73∠-37.66°)    /    (26.06 ∠22.47°)

yields,

                   

                    (0.565∠-60.133°) 

                       I learned that a sine and cosine functions are very applicable in the circuit especially the signal which we called the sinusoid. And this sinusoid is occurring naturally or this can be seen in nature.