Find the amplitude of $y = - \frac { \pi } { 7 } \cos \left( \frac { 3 x } { 2 } \right)$.

A) $- \frac { \pi } { 7 }$

B) $\frac { 4 \pi } { 3 }$

C) $\frac { 3 } { 2 }$

D) $\frac { 1 } { 7 }$

E) $\frac { \pi } { 7 }$

Question

Find the amplitude of $y = - \frac { \pi } { 7 } \cos \left( \frac { 3 x } { 2 } \right)$.

A) $- \frac { \pi } { 7 }$

B) $\frac { 4 \pi } { 3 }$

C) $\frac { 3 } { 2 }$

D) $\frac { 1 } { 7 }$

E) $\frac { \pi } { 7 }$

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 the coefficient $A$. In this case, $A = -\frac{\pi}{7}$, so the amplitude is $|\,-\frac{\pi}{7}\,| = \frac{\pi}{7}$.

Find the Amplitude Of y=−π7cos⁡(3x2)y = - \frac { \pi } { 7 } \cos \left( \frac { 3 x } { 2 } \right)y=−7π​cos(23x​)

Find the Amplitude Of $y = - \frac { \pi } { 7 } \cos \left( \frac { 3 x } { 2 } \right)$