if m=sinA/sinB ,n=tanA/tanB then cos2A=M2-1/N2-1

           

Hi!
Here is the answer to your question.
 
m2n2 cos2A = sin2A
m2 n2 cos2A = 1 – cos2A
n2cos2A – cos2A = m2 – 1
⇒ (n2 – 1) cos2A = m2 – 1
 
 
Cheers!

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