wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

If sinα+sinβ=a and cosα+cosβ=b
then show that, sin(α+β)=2aba2+b2.

Open in App
Solution

sin(α+β)=2aba2+b2a=sinα+sinβ=2sin(α+β2).cos(αβ2)b=cosα+cosβ=2cos(α+β2).cos(αβ2)ab=4sin(α+β2).cos(α+β2).cos(αβ2)=2sin(α+β).cos2(αβ2)a2+b2=4cos2(αβ2)2aba2+b2=sin(α+β)proved.

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