Find the specified quantity.
-Find the period of $y = - 5 \cos \left( \frac { 1 } { 4 } x + \frac { \pi } { 3 } \right)$.
A) $\frac { 2 \pi } { 3 }$
B) $4 \pi$
C) $8 \pi$
D) $5 \pi$

Question

Quizplus · Accepted Answer

The period of a cosine function $y = a \cos(bx + c)$ is given by $\frac{2\pi}{|b|}$. Here, $b = \frac{1}{4}$, so the period is $\frac{2\pi}{\frac{1}{4}} = 8\pi$.

Find the Specified Quantity y=−5cos⁡(14x+π3)y = - 5 \cos \left( \frac { 1 } { 4 } x + \frac { \pi } { 3 } \right)y=−5cos(41​x+3π​)

Find the Specified Quantity $y = - 5 \cos \left( \frac { 1 } { 4 } x + \frac { \pi } { 3 } \right)$