Question

4. Solve for x :
tan-1
(4*) -tan-1x = 0; x > 0

Answer 1

Answer:

Let cot

−1

(x)=θ

⇒cotθ=x

Now, we have

tan(−π+θ)=−tan(π−θ)

⇒tan(−π+θ)=tanθ=

cotθ

1

⇒tan(−π+θ)=

x

1

⇒−π+θ=tan

−1

x

1

⇒−π+cot

−1

x=tan

−1

x

1

∴tan

−1

x

1

=−π+cot

−1

x