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 $\mathrm { E } = 3.3 \cos 180 \pi \mathrm { t }$, where $\mathrm { t }$ is time measured in seconds. Find the amplitude.
A) 180
B) $180 \pi$
C) $3.3$
D) $6.6$

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 $\mathrm { E } = 3.3 \cos 180 \pi \mathrm { t }$, where $\mathrm { t }$ is time measured in seconds. Find the amplitude.
A) 180
B) $180 \pi$
C) $3.3$
D) $6.6$

Quizplus · Accepted Answer

The amplitude of a trigonometric function like $y = a \cos(bx)$ or $y = a \sin(bx)$ is given by the absolute value of $a$, which in this case is $3.3$.

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 $y = a \sin b x \text { or } y = a \cos b x , \text { where } b > 0$