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

If a=cosα+isinα, b=cosβ+isinβ,

c=cosγ+isinγ and bc+ca+ab=1,Then

cos(β-γ)+cos(γ-α)+cos(α-β) is equal to


A
32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
-32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
\N
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 1

bc=cosβ+isinβcosγ+isinγ×cosγisinγcosγisinγ

bc=cos(βγ)+isin(βγ).....(i)

Similarly, ca=cos(γα)+isin(γα).......(ii)

And ab=cos(αβ)+isin(αβ).......(ii)

Equating real and imaginary parts,

cos(βγ)+cos(γα)+cos(αβ)=1


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Polar Representation of a Complex Number
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon