CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

if z=reiθ,then |eiz|=


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B


if z=reiθ=r(cosθ + isinθ)

iz=ir(cosθ + isinθ)=-rcosθ + irsinθ

or eiz = ercosθ+irsinθ=esinθericosθ

or |eiz|=|ersinθ||eircosθ|

=ersinθ[cos2(rcosθ)+cos2(rcosθ)]2=ersinθ


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Euler's Representation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon