Question

tan inverse x+tan inverse2x=phai/2​

Answer 1

Step-by-step explanation:

we first need to know the following relationships between

tan

θ

&

cot

θ

we have:

cot

θ

=

1

tan

θ

also

cot

θ

=

tan

(

π

2

−

θ

)

Explanation:

let

y

=

tan

−

1

x

⇒

x

=

tan

y

x

=

tan

y

⇒

1

x

=

1

tan

y

=

cot

y

1

x

=

cot

y

=

tan

(

π

2

−

y

)

∴

π

2

−

y

=

tan

−

1

(

1

x

)

but

y

=

tan

−

1

x

so

π

2

=

tan

−

1

(

1

x

)

+

tan

−

1

x

as reqd.