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

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

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 .

i) If tan (A+B) = n tan (A-B), prove that: (n+1)/(n-1) = (sin2A)/(sin2B)

If tan(A+B)=ntan(A_B) then prove that (n+1)/(n-1)=(sin2A)/(sin2B)

If A,B,C are acute angles then prove that: (sin A)/(sin B)+(sin B)/(sin C)+(sin C)/(sin A)<=(A)/(B)+(B)/(C)+(C)/(A)<=(tan A)/(tan B)+(tan B)/(tan C)+(tan C)/(tan A)

If cosA=kcos(A-2B) , prove that: tan(A-B)tanB= (1-k)/(1+k)