`tan ((A+B)/2)+tan((A-B)/2)=(2sin A)/(cosA+cosB)`

Prove that: tan(A+B)/(2) + tan(A-B)/(2) = (2sinA)/(cosA+cosB)

Prove that: tan(A+B)/(2) + tan(A-B)/(2) = (2sinA)/(cosA+cosB)

"Prove that" tan (A+B) - tan (A - B) = (sin2 B)/(cos^(2)B - sin^(2) A).

Show that: tan(A+B).tan(A-B)=(sin^(2)A-sin^(2)B)/(cos^(2)A-sin^(2)B).

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

Show that ((sinA+sinB)/(cosA+cosB))^(n) + ((cosA-cosB)/(sinA-sinB))^(n) = 2 "tan"^(n) (A+B)/2 when n is an even integer, 0, when n is an odd integer.

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

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

In the following questions, write 'T' for true and 'F' for false statements. If cosA = (1)/2.cosB = 1 then tan ((A+B)/2).tan ((A-B)/2) = 1

Show that (1+sinA)/(cosA)+(cosB)/(1-sinB)=(2sinA-2sinB)/(sin(A-B)+cosA-cosB)