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

If sinαsinβ=1/3 and cosβcosα=1/2, then cotα+β2=k3. Find the value of k.

Open in App
Solution

sinαsinβ=132cos(α+β2)sin(αβ2)=13 ...(1)
cosβcosα=122sin(α+β2)sin(αβ2)=12 ...(2)
Dividing equation(1) by equation(2) we get
cot(α+β2)=1312=23k=2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Nature and Location of Roots
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon