Find the specified quantity.
-Find the amplitude of $y = 5 \cos \left( 4 x + \frac { \pi } { 3 } \right)$.
A) 4
B) 5
C) $\frac { \pi } { 2 }$
D) 20

Question

Quizplus · Accepted Answer

The amplitude of a trigonometric function like $y = A \cos(Bx + C)$ or $y = A \sin(Bx + C)$ is given by the absolute value of the coefficient $A$. In this case, for $y = 5 \cos \left( 4 x + \frac { \pi } { 3 } \right)$, the amplitude is $|5|$, which is 5.

Find the Specified Quantity y=5cos⁡(4x+π3)y = 5 \cos \left( 4 x + \frac { \pi } { 3 } \right)y=5cos(4x+3π​)

Find the Specified Quantity $y = 5 \cos \left( 4 x + \frac { \pi } { 3 } \right)$