Question

prove that 1/(1+ tan² A)+1/(1+ cot² A )=1
​

Answer 1

Step-by-step explanation:

Since cotx=

tanx

1

,

⇒cot

−1

x=tan

−1

x

1

So, we have,

tan

−1

a+cot

−1

(a+1)=tan

−1

a+tan

−1

a+1

1

=tan

−1

(

1−

a+1

a

a+

a+1

1

)=tan

−1

(a

2

+a+1)