Grade 11Trigonometry
3sina=5sinb,. Then find. Tan((a+b)/2)/tan((a-b)/2)=
1 Answer
Kartik
Approved Tutor Answer8 Years agowe have,
3sina=5sinb
rearranging it
(sina/sinb)=(5/3)
now applying componendo and dividendo rule
we get
(sina+sinb)/(sina-sinb)=4
now using the identities of trigonometry we get
(2sin((a+b)/2)cos((a-b)/2) )/( 2cos((a+b)/2)sin((a-b)/2))=4
this becomes
(tan((a+b)/2) )/( tan((a-b)/2)=4
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