Question

If tanθ−cotθ=1, then tan2θ+cot2θ=​

Answer 1

Answer:

We know tanθ=

cotθ

1

,

So, (tanθ+cotθ)

2

=tan

2

θ+cot

2

θ+2

⇒(2)

2

=tan

2

θ+cot

2

θ+2

⇒tan

2

θ+cot

2

θ=2

2

−2

⇒tan

2

θ+cot

2

θ=2