Question

1+ cot square theta by 1+ tan square theta is equal to​

Answer 1

Answer:

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.

Answer 2

Answer:

$Answer</p><p></p><p></p><p></p><p>1+cot2θ1+tan2θ=1+tan2θ11+tan2θ</p><p></p><p>(1−cotθ1−tanθ)2=(tan2θtan2θ+1)1+tan2θ</p><p></p><p>=⎝⎜⎜⎛1−tanθ11−tanθ⎠⎟⎟⎞2=tan2θ</p><p></p><p>(tanθ(tanθ−11−tanθ))2</p><p></p><p>=(−tanθ)2</p><p></p><p>=tan2θ.</p><p></p><p>$