Trigonometric EquationHard

Question

In a triangle ABC, ∠B = and ∠C = LetDdivides BC internally in the ration 1 : 3, then is equal to

Options

A.
B.
C.
D.

Solution

       
ᐃABD, applying sine rule, we get
     
⇒     AD x sin α       .......(i)
And in ᐃACD, applying sine rule, we get
     
⇒     AD = x sin β       .......(ii)
From Eqs. (i) and (ii),
       
⇒    

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