wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The polar form of (i25)3 is


A

cosπ2+i sin π2

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

cos π+i sin π

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

cos π+i sin π

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

cos π2i sin π2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

cos π2i sin π2


(i25)3=(i)75=(i)4×18+3=(i)3=i ( i4=1)Let z=0i

Since, the point (0, -1) lies on the negative direction of imaginary axis.

Therefore, arg (z) = π2

Modulus, r = |z| = |1| = 1

Polar form = r(cos θ+i sin θ)

=cos(π2)+i sin(π2)=cos π2i sin π2


flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vector Components
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon