Limited access

Upgrade to access all content for this subject

Find the exact value of
$${ \left\{ \cos { \left( \cfrac { 3\pi }{ 4 } \right) } +i\sin { \left( \cfrac { 3\pi }{ 4 } \right) } \right\} }^{ 5 }$$

A

$\cfrac { 5\sqrt { 2 } }{ 2 } -i\cfrac { 5\sqrt { 2 } }{ 2 } $

B

$\cfrac { \sqrt { 2 } }{ 2 } +i\cfrac { \sqrt { 2 } }{ 2 } $

C

$ \cfrac { \sqrt { 2 } }{ 2 } -i\cfrac { \sqrt { 2 } }{ 2 } $

D

$\cfrac { 5\sqrt { 2 } }{ 2 } +i\cfrac { 5\sqrt { 2 } }{ 2 } $

Select an assignment template