RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 4. Inverse Trigonometric Functions

Subject: - Class 12th

Q. No. 47 of Objective Questions

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47

Mark the tick against the correct answer in the following:

If tan-1 x + tan-1 3 = tan-1 8 then x = ?


Given: + =


To Find: The value of x


Here + = can be written as


= -


Since we know that - =


= - =


=


=


x =

1

Chapter Exercises

Exercise 4A
Exercise 4B
Exercise 4C
Exercise 4D
Objective Questions

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1

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The principal value of is
2

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The principal value of cosec-1(2) is
3

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4

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7

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9

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10

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The principal value of is
11

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12

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The value of is
13

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14

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15

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16

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The value of is
17

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The value of is
18

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19

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The value of


20

Mark the tick against the correct answer in the following:

If x ≠ 0 then cos (tan-1 x + cot-1 x) = ?
21

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The value of is
22

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23

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24

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25

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26

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27

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28

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29

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30

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31

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32

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33

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If then sin x = ?
34

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35

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36

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37

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38

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39

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40

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41

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42

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43

Mark the tick against the correct answer in the following:

If then x = ?
44

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If then x = ?
45

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If then


46

Mark the tick against the correct answer in the following:

(tan-1 2 + tan-1 3) = ?
47

Mark the tick against the correct answer in the following:

If tan-1 x + tan-1 3 = tan-1 8 then x = ?
48

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If then x = ?
49

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50

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51

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Range of sin-1 x is
52

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Range of cos-1 x is
53

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Range of tan-1 x is
54

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Range of sec-1 x is
55

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Range of coses-1 x is
56

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Domain of cos-1 x is
57

Mark the tick against the correct answer in the following:

Domain of sec-1 x is