RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 4. Inverse Trigonometric Functions

Subject: - Class 12th

Q. No. 29 of Objective Questions

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29

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To Find: The value of cos()


Let x =


tan x =


tan x = =


We know that by pythagorus theorem ,


(Hypotenuse )2 = (opposite side )2 + (adjacent side )2


Therefore, Hypotenuse = 5


cos x = =


Since here x = hence cos() becomes cos x


Hence , cos() = cos x =

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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The principal value of is
4

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The principal value of is
5

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The principal value of is
6

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The principal value of is
7

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The principal value of cot-1 (-1) is
8

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The principal value of is
9

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The principal value of is
10

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The principal value of is
11

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The value of is
12

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The value of is
13

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The value of is
14

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The value of is
15

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The value of is
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

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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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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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40

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41

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42

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43

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If then x = ?
44

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If then x = ?
45

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If then


46

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

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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

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Domain of sec-1 x is

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