Prove that:
`{sin(A+B)}/{sin(A-B)} = {tan A+ tan B}/{tan A - tan B}`

In any Delta ABC , prove that : ((a-b)/c) = (tan (A/2) - tan (B/2))/(tan (A/2) + tan (B/2)

Prove that : (cot A + tan B)/ (cot B + tan A) = cot A tan B

Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2B)

By using above basic addition/ subtraction formulae, prove that (i) tan (A+B)=(tan A+tan B)/(1-tan A tan B) , (ii) tan (A-B)=(tan A-tanB)/(1+tan A tan B) (iii) sin2theta=2sintheta costheta , (iv) cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1 (v) tan 2theta=(2 tan theta)/(1-tan^(2) theta)

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

Prove that: (sin A+sin B)/(cos A+cos B)=tan((A+B)/2)

Prove that: (sin A-sin B)/(cos A+cos B)=tan((A-B)/2)

Prove that: (sin A+sin B)/(sin A-sin B)=tan((A+B)/2)cot((A-B)/2)

If A+B+C=pi , prove that : tan( A/2) tan (B/2) + tan (B/2 )tan (C/2)+ tan( C/2) tan (A/2) =1

If sinB=1/5sin(2A+B), then (tan(A+B))/(tanA) is equal to