`A+ B = C and tan A = k tan B`, then prove that `sin (A-B) = (k-1)/(k+1) sin C`

If theta + phi = alpha and tan theta = k tan phi , then prove that sin (theta - phi) = (k - 1)/(k + 1) sin alpha .

If theta + phi =alpha and tan theta = k tan phi , then prove that sin(theta - phi) =(k-1)/(k+1) sin alpha .

if tan A=k tan B show that sin(A+B)=((k+1)/(k-1))sin(A-B)

If sin A = m sin B, "prove that" "tan" (A-B)/2 = (m-1)/(m+1) "tan" (A+B)/2

If theta+phi= alpha and tan theta=k tan phi , prove that : sin alpha=(k+1)/(k-1) sin (theta-phi) .

If an angle alpha is divided into two parts A&B such that A-B=x and tan A:tan B=k:1 Then the value of sin x is (A) (k+1)/(k-1)sin alpha (k)/(k+1)sin alpha (C) (k-1)/(k+1)sin alpha (D) tan alpha

If an angle 'r' is divided in two parts A and B such that A-B=x and tan A: tan B=K:1 then the value of sin x is 1) (k+1)/(k-1)sin r, 2) (k)/(k+1)sin r 3) (k-1)/(k+1)sin r 4) None

Prove that: If tan A=x tan B, prove that (sin(A-B))/(sin(A+B))=(x-1)/(x+1)

If theta+phi=alpha and tan theta =k tan phi , prove that: sin alpha=(k+1)/(k-1)"sin"(theta-phi)

If cos A = tan B , cos B = tan C and cos C = tan A then show that sin A = sin B = sin C = 2sin 18^circ .