CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
311
You visited us 311 times! Enjoying our articles? Unlock Full Access!
Question

If α,β,γ[0,π2], then the value of sin(α+β+γ)sinαsinβ+sinγ is

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is B None of these
The value of sin(α+β+γ) is
=sinα+sinβ+sinγsinαcosβcosγcosαsinβcosγcosαcosβsinγ+sinαsinβcosγ
Therefore, sinα+sinβ+sinγ>sin(α+β+γ)
sin(α+β+γ)sinα+sinβ+sinγ<1

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