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

if sin A=n sin(A +2 B) , prove that

tan(A +B) = 1+n/1-n tan B

Open in App
Solution

sin A = n sin (A+2B)
So, n=sinAsin(A+2B)
Now,
1+n1-n=1+sinAsin(A+2B)1-sinAsin(A+2B)=sin(A+2B)+sinAsin(A+2B)-sinA=2sinA+2B+A2cosA+2B-A22cosA+2B+A2 sinA+2B-A2=sin(A+B)cosBcos(A+B)sinB=tan(A+B)1tanBor, tan(A+B)=1+n1-ntanB

Hence proved

flag
Suggest Corrections
thumbs-up
0
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