Question

if tan theta +1/tan theta =2, then show that tan2 theta + 1/tan2 theta =2​

Answer 1

Answer:

tanθ+

tanθ

1

=2

Squaring both sides, we get

⇒(tanθ+

tanθ

1

)

2

=4

⇒tan

2

θ+

tan

2

θ

1

+2.tanθ.

tanθ

1

=4

⇒tan

2

θ+

tan

2

θ

1

+2=4

⇒tan

2

θ+

tan

2

θ

1

=2

Hence, the answer is 2.