RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 6 of Exercise 4.7

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6

Evaluate each of the following:

The value of cot is √3.


∴ The question becomes cot–1(√3).


Let cot–1(√3) = y


⇒ cot y = √3


= cot = √3


The range of principal value of cot–1is (0, π)


and cot = √3


∴ The principal value of cot–1(cot) is .


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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