Question

Prove the identity (1-tano/1-coto) ^2 = tan^2o​

Answer 1

Answer:

hope it helps and refer to attachment

Answer 2

Step-by-step explanation:

Answer

1+cot

2

θ

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.