Question

cot-¹x +cot-¹(a²-x+1) = cot-¹(a-1)​

Answer 1

Answer:

cot

−

1

x

=

tan

−

1

(

1

x

)

Let

y

=

cot

−

1

x

, then by definition of inverse

x

=

cot

y

x

=

1

tan

y

x

tan

y

=

1

tan

y

=

1

x

y

=

tan

−

1

(

1

x

)

∴

cot

−

1

x

=

tan

−

1

(

1

x

)

put these together!

Step-by-step explanation: