Using vector, Prove that for `DeltaABC`,
`(a)/(sinA)=(b)/(sinB)=( c )/(sin C)`.

Prove that, a^(3)sin(B-C)+b^(3)sin(C-A)+c^(3)sin(A-B)=0

For DeltaABC , sinA + sinB + sinC

Prove that, tan((A)/(2)+B)=(c+b)/(c-b)tan((A)/(2))

For DeltaABC , prove that, (a+b)/(c)=(cos((A-B)/(2)))/(sin""(C)/(2)) .

Prove that, (cosA-cosB)^(2)+(sinA-sinB)^(2)=4sin^(2)((A-B)/(2))

For DeltaABC , prove that, asin(B-C)+bsin(C-A)+csin(A-B)=0 .

For any triangle ABC, prove that : (a+b)/(c)=(cos((A-B)/(2)))/(sin""(C)/(2))

Using vectors, find the area of the DeltaABC with vertices A(1,2,3),B(2,-1,4) and C(4,5,-1) .

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