In a #DeltaABC#, prove that the value of #cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)# is a prime?
4 Answers
Explanation:
Proof: we need the theorem of cosines
and the area of a triangle
simplifying and expanding
Now it is
so our result is
Please see below.
Explanation:
We know that ,
We take ,
Now , In a
So ,
=
From
Please refer to another Proof in Explanation.
Explanation:
In
But,
Therefore, from
Given
Now 1st part of the given expression
Similarly 2nd part
And 3rd part
So whole LHS