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URGENT if cos2beta=cos(∂+gama)÷cos(∂-gama) then tan∂,tan beta,tan gama are in A.P G.P H.P A.G.P pls answer fast

URGENT
if cos2beta=cos(∂+gama)÷cos(∂-gama) then tan∂,tan beta,tan gama are in
  1. A.P
  2. G.P
  3. H.P
  4. A.G.P
pls answer fast

Grade:12th Pass

1 Answers

Aditya Gupta
2080 Points
2 years ago
simply use componendo and dividendo
(cos2beta+1)/(cos2beta–1)= [cos(∂+gama)+cos(∂-gama)]/[cos(∂+gama)–cos(∂-gama)]= cos(∂)cos(gama)/(-sin(∂)singama)
tan^2beta=tan(∂)tangama
hence they are in GP

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