Answer each of the following questions in one word or one sentence or as per exact requirement of the question: If x 1, then write the value of in terms of tan –1 x.

Question

Answer each of the following questions in one word or one sentence or as per exact requirement of the question: If x > 1, then write the value of in terms of tan –1 x.

Philoid · Accepted Answer

Given x > 1

⇒ tan θ > 1

Multiplying by -2,

Subtracting with π,

We know that

Put tan θ = x

For x > 1,

Since x = tan θ

⇒ θ = tan^-1 x

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:If x > 1, then write the value of in terms of tan–1 x.

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
If x > 1, then write the value of in terms of tan^–1 x.