In any triangle `A B C` , prove that following: `\ \ bcosB+c\ cos\ C="a c o s"(B-C)`

In any triangle ABC, prove that following: quad b cos B+c cos C=acos(B-C)

In any triangle A B C , prove that following: \ \ acosA+bcosB+c\ cos C=2bsinAsinC=2csinAsinB

In any triangle A B C , prove that following: \ a\ (cosB cos C+cos A)=b(cos C\ cos A+cos B)=c(cos A\ cos B+cos C)dot

In any triangle ABC, prove that following: a(cos B cos C+cos A)=b(cos C cos A+cos B)=c(cos A cos B+cos C)

In any triangle ABC, prove that following: quad a cos A=b cos B=c cos C=2b sin A sin C=2c sin A sin B

In any triangle ABC, prove that following: b sin B-C sin C=a sin(B-C)

In any triangle A B C , prove that following: \ \ a^2sin(B-C)=(b^2-c^2)sinA

In any triangle A B C , prove that following: sin((B-C)/2)=(b-c)/a cos (A/2)

In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+(cos^2C-cos^2A)/(c+a)+(cos^2A-cos^2B)/(a+b)=0

In any triangle ABC, prove that: a cos A+b cos B+c cos C=2a sin B sin C