Question

, if 0 = 30°, verify that : tan 20 =
2tan0 / 1- tan2 0​

Answer 1

Answer:

Given: x=30

0

,

To Prove: tan2x=

1−tan

2

x

2tanx

L.H.S: tan2x=tan60

0

=

3

R.H.S:

1−tan

2

x

2tanx

=

1−tan

2

30

0

2tan30

0

=

1−(

3

1

)

2

2(

3

1

)

=

3

2

2(

3

1

)

=

3

Thus, L.H.S.=R.H.S

Hence 1 is answer