Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Question

Answer each of the following questions in one word or one sentence or as per exact requirement of the question: If x < 0, then write the value of in terms of tan –1 x.

Philoid · Accepted Answer

Given x < 0

⇒ -∞ < x < 0

Let x = tan θ

⇒ -∞ < tan θ < 0

Multiplying by -2,

⇒ -π < -2θ < 0

We know that

Put tan θ = x

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 < 0, 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 < 0, then write the value of in terms of tan^–1 x.