wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

If α,β,γϵ(0,π2), then sin(α+β+γ)sinα+sinβ+sinγ<a
Find a

Open in App
Solution

sin(α+β+γ)=sinαcosβcosα+cosαsinβcosγ+cosαcosβsinγsinαsinβsinγ
or sin(α+β+γ)sinαsinβsinγ=sinα(cosβcosγ1)+sinβ(cosγcosγ1)+sinγ(cosαcosβ1)sinαsinβsinγ
or sin(α+β+γ)sinαsinβsinγ<0
or sin(α+β+γ)<sinα+sinβ+sinγ
or sin(α+β+γ)sinα+sinβ+sinγ<1
Ans: 1

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