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

cosα.sin(βγ)+cosβ.sin(γα)+cosγ.Sin(αβ) is equal to

A
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
cosα.cosβ.cosγγ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 0

cosαsin(βγ)+cosβsin(αγ)+cosγsin(αβ)

=cosα(sinβcosγsinγcosβ)+cosβ(sinγcosαsinαcosγ)+cosγ(sinαcosβsinβcosα)

=cosαsinβcosγcosαsinγsinβ+cosβsinγcosαcosβsinαcosγ+cosγsinαcosβcosγsinβcosα

=0
[using the trigonometric relation,sin(AB)=sinAcosBsinBcosA]

1170888_1296258_ans_94463971011940e8a7b85bc7ba8cf81c.JPG

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