RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 19 of MCQ

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19

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The value of is


We need to find the value of .



Using the trigonometric identity,



As the function lies in I Quadrant and so it will be positive.



Using the trigonometric identity,




Using property of inverse trigonometry,


sin-1(sin A) = A




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

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If , then x2 =
2

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The value of is
3

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is equal to
4

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If , then


5

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The positive integral solution of the equation is
6

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If , then x =
7

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is equal to
8

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The number of solutions of the equation is
9

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If and , then
10

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The number of real solutions of the equation is
11

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If x < 0, y < 0 such that xy = 1, then tan–1x + tan–1y equals
12

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If then, =
13

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If , then


14

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If , , then α – β =
15

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Let . Then f(8 π/9) =
16

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is equal to
17

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If , then 9x2 – 12xy cos θ + 4y2 is equal to
18

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If tan–1 3 + tan–1x = tan–1 8, then x =
19

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The value of is
20

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The value of is
21

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is equal to
22

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If , then one of the possible values of θ is
23

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If , then x is equal to
24

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If , then the value of x is
25

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If , then the value of x is
26

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If , then
27

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In a ΔABC, If C is a right angle, then


28

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The value of is
29

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30

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If tan–1 (cot θ) = 2 θ, then θ =
31

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If , where a, x ∈ (0, 1) then, the value of x is
32

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The value of is equal to
33

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If x > 1, then is equal to
34

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The domain of is
35

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The value of is

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