In any DeltaABC, prove that ("sin(A-B)...

In any `DeltaABC`, prove that
`("sin(A-B)")/("sin(A+B)")=((a^(2)-b^(2)))/c^(2)`

A

`(a^(2)-b^(2))/(c^(2))`

B

`(a^(2)+b^(2))/(c^(2))`

C

`(c^(2))/(a^(2)-b^(2))`

D

`(c^(2))/(a^(2)+b^(2))`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If in a DeltaABC, sin A: sin C = sin (A - B): sin (B-C), then a^(2), b^(2), c^(2) are in

Solve the following: With usual notations prove that frac{sin(A-B)}{sin(A+B)} = frac{a^2-b^2}{c^2}

Prove the following: sin(A+B).sin(A-B)=cos^2B-cos^2A

In /_\ ABC , prove that a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B) = 0

In triangleABC prove that sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/2)sin(C/2)

In any DeltaABC,("tan"(A)/(2)-"tan"(B)/(2))/("tan"(A)/(2)+"tan"(B)/(2)) is equal to

Solve the following: If A+B+C=pi ,prove that sin(B+2C)+sin(C+2A)+sin(A+2B)= 4sin((B-C)/2)sin((C-A)/2)sin((A-B)/2)

In a DeltaABC , if a b and c are in AP ,then the value of ("sin"(A)/(2)"sin"(C)/(2))/("sin"(B)/(2)) is: a) 1 b) 2 c) 1/2 d) -1

In DeltaABC,(cos.(1)/(2)(B-C))/(sin.(1)/(2)A) =

If in DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB) =