CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Whether the given equation sinBsinA=sin(2A+B)sinA−2cos(A+B) ?

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

The correct option is A True
R.H.S

sin(2A+B)sinA2cos(A+B)

=sin(A+A+B)sinA2cos(A+B) [as sin(A+B)=sinAcosB+cosC]

=sinAsin(A+B)+cosAsin(A+B)2sinAcosBsinA

=sinAcos(A+B)+cosAsin(A+B)sinA

=sin(A+B)cosAcos(A+B)sinAsinA[(A+B)=sinAcosBcosC]

=sin(A+BA)sinA=sinBsinA=(L.H.S) (proved)

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