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 4.1

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1

Find the principal value of each of the following:

Let


cos y =


We need to find the value of y.


We know that the value of cos is negative for the second quadrant and hence the value lies in [0, π].


cos y = – cos


cos y =


y =


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

More Exercise Questions

1

Find the principal value of each of the following:
1

Find the principal value of each of the following:
1

Find the principal value of each of the following:
1

Find the principal value of each of the following:
1

Find the principal value of each of the following:
1

Find the principal value of each of the following:
2

2

3

Find the domain of each of the following functions:

f(x) = sin–1x2
3

Find the domain of each of the following functions:

f(x) = sin–1x + sinx
3

Find the domain of each of the following functions:

f(x) =

3

Find the domain of each of the following functions:

f(x) = sin–1x + sin–12x
4

If sin–1x + sin–1y + sin–1z + sin–1t = 2π, then find the value of

x2 + y2 + z2 + t2.
5

If (sin–1x)2 + (sin–1y)2 + (sin–1z)2 = 3/4 π2. Find x2 + y2 + z2.

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