Question

Solve: tan inverse x - cot inverse x = 0​

Answer 1

Step-by-step explanation:

Given, tan

−1

x>cot

−1

x⇒tan(tan

−1

x)>tan(cot

−1

x)

⇒tan(tan

−1

x)>tan(tan

−1

x

1

)

⇒x>

x

1

⇒x

2

>1 (for x>0)

x>±1

⇒x∈(1,∞)