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