RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 1 of Exercise 4.7

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1

Evaluate each of the following:

sin–1 (sin12)

sin–1(sin x) = x


Provided x ϵ ≈ [–1.57,1.57]


And in our equation x is 4 which does not lie in the above range.


We know sin[2nπ – x] = sin[–x]


∴ sin(2nπ – 12) = sin(–12)


Here n = 2


Also 2π–12 belongs in


∴ sin–1(sin12) = 2π – 12


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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