Question

.Prove that (1+tan2θ)/(1+cot2θ) = (1-tanθ)2/(1-cotθ)2 = tan2θ

Answer 1

Answer:

answer for the given problem is given

Answer 2

Step-by-step explanation:

1+tan

2

θ

=

1+

tan

2

θ

1

1+tan

2

θ

(

1−cotθ

1−tanθ

)

2

=

(

tan

2

θ

tan

2

θ+1

)

1+tan

2

θ

=

⎝

⎜

⎜

⎛

1−

tanθ

1

1−tanθ

⎠

⎟

⎟

⎞

2

=tan

2

θ

(tanθ(

tanθ−1

1−tanθ

))

2

=(−tanθ)

2

=tan

2

θ.