If tanA = 30°, prove that tan2a = frac{2 tan a }{1 - { tan}^{2} a}

Question

If tanA = 30°, prove that    tan2a  =   frac{2  tan a }{1 -   {  tan}^{2} a}   ​

Jasmine · Answer

Answer:   The answer for the sum is 3/3

Josephine · Answer

A=30⇒2A=60    tan2A=1−tan2A2tanA.    A=30 degrees    Show that:    tan60∘=1−tan230∘2tan30∘    RHS:    1−tan230∘2tan30∘=1−312×31=2/32/3    =3/3

If tanA = 30°, prove that[tex] \tan2a = \frac{2 \tan a }{1 – { \tan}^{2} a} [/tex]​