RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 5 of Very short answer

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5

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.


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



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