If 2 tan A = 3 tan B.show that tan (A - B)= `(sin2B)/(5-cos2B)`

Show that tan^2A-tan^2B=(sin^2A-sin^2B)/(cos^2Acos^2B)

If A +B = 90 , prove that (tan A + cosec B)^2=(1+sin A)/(1- cos B) .

Show that cot(A+B)cot(A-B)=(cos^2A-sin^2B)/(sin^2A-sin^2B)

If A=60⁰ and B=30⁰ , verify that tan (A+B)=(tan A+tan B)/(1-tan A tan B)

If A=60⁰ and B=30⁰ , verify that tan (A-B)=(tan A-tan B)/(1+tan A tan B)

If alpha and beta are the solution of the equation a tan theta +b sec theta=c ,then show that tan(alpha+beta)=2ac/(a^2-c^2)

If A + B + C= pi and cos A = cos B cos C, show that tan A =tan B + tan C and cot B cot C=1/2.

If cos A+cos B=1/2 and sin A +sin B=1/4 then prove that tan ((A+B)/2)=1/2 .

If (tan A + sec A) (tan B + sec B) (tan C + sec C) = (tan A -sec A) (tan B -secB) (sec C-tan C),show that each side is equal to +-1

If A,B,C are the three angles of a triangle,show that:(iv) tan((B+C)/2)=cot(A/2)