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

(tan A + tan B) / (tan A-tan B) = (sin (A + B)) / (sin (AB))

Prove that (tan (AB) + tan B) / (1-tan (AB) tan B) = tan A

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

If A+B=90^(@); prove that sqrt((tan A tan B+tan A cot B)/(sin A sec B)-(sin^(2)B)/(cos^(2)A))=tan A

If A+B=90^(0), prove that sqrt((tan A tan B+tan A cot B)/(sin A sec B)-(sin^(2)B)/(cos^(2)A))=tan A

(tan A + tan B) / (tan (A + B)) + (tan A-tan B) / (tan (AB)) =

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

if a+b=90^(@) then prove that sqrt((tan A tan B+tan A cot B)/(sin A sec B))=sec A

If A+B=90 then prove that sqrt((tan A tan B+tan A cot B)/(sin A sec B))=sec A