The function graphed is of the form y $$y = a \sin b x \text { or } y = a \cos b x , \text { where } b 0$$ Determine the equation of the graph.
-The voltage $\mathrm { E }$ in an electrical circuit is given by $\mathrm { E } = 7.7 \cos 180 \pi \mathrm { t }$, where $\mathrm { t }$ is time measured in seconds. Find the period.
A) $90 \pi$
B) $\frac { 1 } { 90 }$
C) $\frac { \pi } { 90 }$
D) 90

Question

The function graphed is of the form y $$y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0$$ Determine the equation of the graph.
-The voltage $\mathrm { E }$ in an electrical circuit is given by $\mathrm { E } = 7.7 \cos 180 \pi \mathrm { t }$, where $\mathrm { t }$ is time measured in seconds. Find the period.
A) $90 \pi$
B) $\frac { 1 } { 90 }$
C) $\frac { \pi } { 90 }$
D) 90

Quizplus · Accepted Answer

The period of a cosine function $y = a \cos(bx)$ is given by $\frac{2\pi}{b}$. Here, $b = 180\pi$, so the period is $\frac{2\pi}{180\pi} = \frac{1}{90}$.

The Function Graphed Is of the Form Y y=asin⁡bx or y=acos⁡bx, where b>0y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0y=asinbx or y=acosbx, where b>0

The Function Graphed Is of the Form Y $y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0$