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Question -

For any ╬ФABC show that:



Answer -

Let us consider LHS:

We can observe that we can get terms c тАУ b cos A and bтАУ c cos A from projection formula

From projection formula we get,

c = a cos B + b cos A

c тАУ b cos A = a cos B тАж. (i)

And,

b = c cos A + a cos C

b тАУ c cos A = a cos C тАж. (ii)

Dividing equation (i) by (ii), we get,

= RHS

Hence proved.

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