Find the value of `1+(sin(A-B))/(cos A cos B)+(sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A).`

Prove that: ("sin"(A-B))/(cos A cosB)+(sin(B-C))/(cos B cos C)+("sin"(C-A))/(cos C cos A)=0

Prove that (sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A)+(sin(A-B))/(cos A cos B)=0

Prove that (sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A)+(sin(A-B))/(cos A cos B)=0

If A = 60 ^(@) and B = 30 ^(@) , find the value of (sin A cos B+ cos A sin B)^(2) + (cos A cos B - sin A sin B )^(2)

In any DeltaABC , prove that : (cos A)/(b cos C + c cos B) + (cos B)/(c cos A + a cos C) + (cos C)/(a cos B + b cos A) = (a^2 + b^2 + c^2)/(2abc)

Prove that : (sin A - sin B)/ (cos A + cos B) + (cos A - cos B)/ (sin A + sin B) = 0

In Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=

In triangle ABC, right-angled at B. if tanA=1/(sqrt(3)) find the value of: (i) sin A cos C+cos A sin C (ii) cos A cos C sin A sin C

If A and B are complementary angles, prove that : (sin A + sin B)/ (sin A - sin B) + (cos B - cos A)/ (cos B + cos A) = (2)/(2 sin^(2) A - 1)

If A,B,C are the angles of triangle ABC, then the minimum value of |{:(-1,cos C , cos B),(cos C , -1, cos A ) , (cos B , cos A , -1):}| is equal to :