RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 55 of Very short answer

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55

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of , when .


Given


We know that tan-1 x + cot-1 x = π/2


= cos (π/6)


= √3/2


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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2

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3

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4

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5

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6

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7

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8

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9

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10

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11

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12

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Write the range of tan–1x.
13

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Write the value of cos–1(cos 1540°).
14

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Write the value of sin–1 (sin(–600°)).
15

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16

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17

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18

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19

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20

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Write the value of .
21

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Write the value of cos–1(cos 350°) – sin–1(sin 350°).
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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Write the value of .
27

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of .
28

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of .
29

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of .
30

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of .
31

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32

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33

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34

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35

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36

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

If 4sin–1 x + cos–1 x = π, then what is the value of x?
37

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If x < 0, y < 0 such that xy = 1, then write the value of tan–1 x + tan–1 y.
38

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39

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40

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Write the principal value of .
41

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Write the value of .
42

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Write the principal value of .
43

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Write the value of .
44

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Write the principal value of .
45

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Write the principal value of cos–1(cos 680°).
46

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47

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Write the value of .
48

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Write the value of .
49

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of


50

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of the expression , when .
51

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Write the principal value of .
52

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The set of values of .
53

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54

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55

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56

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57

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58

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If , find the value of x.
59

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