If `A=110^(@)`, then prove that `(1+sqrt(1+tan^(2)2A))/(tan2A)=-tan A`.

Prove that cos2A=(1-tan^2 A)/(1+tan^2 A)

Prove that, ( 1-tan^2A) / (cot^2A-1) = tan^2A

Prove: (1-tan^2A)/(cot^2A-1)=tan^2A

Prove: (1-tan^(2)A)/(cot^(2)A-1)=tan^(2)A

If A+B=45^(@) then prove that (1+tan A)(1+tan B)=2. On the basis of the result obtained prove that tan22.5^(0)=sqrt(2)-1

Prove that tan2A =(2tanA)/(1-tan^2 A)

Prove that tan^(-1)((sqrt(1+x^2)-1)/x)=1/2 tan^(-1)x .

If tan A=sqrt(2)-1 prove that (tan A)/(1+tan^(2)A)=(sqrt(2))/(4)

If tan 25^(@)=a , prove that (tan 155^(@)-tan115^(@))/(1+tan155^(@)tan115^(@))=(1-a^(2))/(2a) .

Prove: (tan^3 A +1 )/(tan A +1) = sec^2A -tan A