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

If cos(α+β)=0, then sin(αβ) can be reduced to:

A
cos β
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
cos 2β
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
sin α
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
sin 2α
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B cos 2β
cos(α+β)=0
α+β=90°
α=90°β
sin(αβ)=sin(90°ββ)
=sin(90°2β)
=cos2β
Hence, the answer is cos2β.

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Range of Trigonometric Ratios from 0 to 90
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon