CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
172
You visited us 172 times! Enjoying our articles? Unlock Full Access!
Question

If sin(α+β)=1,sin(αβ)=1/2, then tan(α+2β)tan(2α+β)=

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

The correct option is A 1
sin(α+β)=1,sin(αβ)=1/2
α+β=π/2,αβ=π/6
α=π3,β=π6
=tan(α+2β)tan(2α+β)
=tan(2π3)tan(5π6)
=(3)(1/3)=1

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Trigonometric Ratios of Complementary Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon