if `sin(A-B)/(cosAcosB)=x` and `sin(A-B)/(sinAsinB)=y` then `cos(A-B)/(sin(A-B) ` equalto

Prove that: (sin(A-B))/(sinAsinB)' = cotB - cotA

If x=cos(A+B)cos(A-B) and y=sin (A+B)sin (A-B) then x-y=

If sin A+cos B=a and sin B+cos A=b, then sin(A+B) is equal to

(sin(A+B)+cos A-sin(A-B))/(cos(A-B)+sin A-cos(A+B))=

If sin A + cos B = a and sin B + cos A = b, then sin (A + B) is equal to

If A=B=60^@ , verify that (i) cos(A-B)=cosAcosB+sinAsinB (ii) sin(A-B)=sinAcosB-cosAsinB (iii) tan(A-B)=(tanA-tanB)/(1+tanAtanB)

Prove that (sin(B-C))/(sinB.sinC) + (sin(C-A))/(sinCsinA) + (sin(A-B))/(sinA.sinB) = 0

Show that (1+ sin A)/(cosA)+( cos B)/(1- sin B)=(2 (sin A- sin B))/(sin (A-B)+ cos A-cos B)

If quad tan A=(x sin B)/(1-x cos B) and tan B=(y sin A)/(1-y cos A) then (sin A)/(sin B)=