Question

prove that tan60-tan30/1+tan60×tan30=tan 30
please take photo of your answer​

Answer 1

Given : tan60-tan30/1+tan60×tan30

√

To prove : tan60-tan30/1+tan60×tan30=tan 30

Solution :

L.H.S

= tan 60° - tan 30° / 1+ tan 60°tan 30°

= √3 - y √3 / 1+ √3 × y √3

= 3-1 / √3 / 1 + 1

= 2 / √3 × 2

= 1/ √3

RHS = LHS

⇛hence proved

Answer 2

Answer:

We know that tan(60°) = √3 tan(30°) = 1/√3

Taking LHS

Now, RHS = tan30° = 1/√3 ∴L.H.S. = R.H.S.