Analysis of the voltage in a hairdryer involves terms of the form \sin(nwt-90^{\circ}), where n is a positive integer, w is the frequency of the volta

fortdefruitI

fortdefruitI

Answered question

2021-05-22

Analysis of the voltage in a hairdryer involves terms of the formsin(nwt90), where n is a positive integer, w is the frequency of the voltage, and t is time. Use an identity to simplify this expression.

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2021-05-23Added 84 answers

sin(αβ)=sinαcosβcosαsinβ

So, sin(nwt90)=sin(nwt)cos(90)cos(nwt)sin(90)=sin(nwt)(0)cos(nwt)(1)=cos(nwt)

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