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:

cot(–θ) is –cot(θ)


∴ The equation given above becomes cot–1(–cot)


cot = 1.


⇒ –cot = –1.


∴ we get cot–1(–1)


Let cot–1(–1) = y


⇒ cot y = –1


= – cot = 1


= cot


= cot


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


and cot = –1


∴ The 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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