Electrical Engineering ⇒ Topic : Trigonometrical form

Trigonometrical form. It is similar to the rectangular form except that in-phase and quadrature components of the phasor are expressed in the trigonometrical form. Thus referring to Fig. (a) above, a = V cos θ and b = V sin θ where V is the magnitude of the phasor V. Hence phasor V can be expressed in the trigonometrical form as

                                                  figure (a)

                                        V = V (cos θ +j sin θ)

In general, the phasor V may be represented in trigonometrical form as

                                        V = V(cos θ ± j sin θ)

It may be noted that in this form, we express the phasor in terms of its magnitude and phase angle θ.