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Step 1) express the sinusoid in positive cosine form so that it can be written as the real part of a complex number This can be done via trigonometric identities or a graphical approach. We will use the graphical approach in order to convert the sine function having a negative amplitude into a cosine function having a positive amplitude:

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Many new electrical engineers are unaware of the use of sinusoids and phasors when they analyze ac circuits However, when comparing two sinusoids, it is convenient to express both as either sine or cosine with positive amplitudes In this article, we’ll explain how these can be used in analyzing ac circuits.

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Sinusoids are of interest in many areas because there are a number of natural phenomenon that are sinusoidal in nature

It is also a very easy signal to generate and transmit and, through fourier analysis, any practical periodic function can be made by adding sinusoids. By suppressing the time factor, e^ (jwt), the sinusoid is transformed from the time domain to the phasor domain V (t) = v m c o s (ω t + ϕ), (t i m e d o m a i n) when transformed to the phasor domain is equivalent to v = v m ∠ ϕ, (p h a s o r d o m a i n) Before defining phasors and applying them to circuit analysis, we need to be familiar with complex numbers

As it is a complex number, a phasor can also be expressed in rectangular form, polar form, or exponential form. • for today’s lecture, we will look at and learn about sinuoids and phasors only The remaining section will be done in the next class. This blog post provides a detailed overview of sinusoid to phasor conversion, including its significance, methods, and practical applications in ac circuits, aimed at enhancing understanding for students and enthusiasts in the field of electrical engineering.