RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 6 of MCQ

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6

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If , then x =


We are given that,

…(i)


We need to find the value of x.


By using the property of inverse trigonometry,



We can find the value of sin-1 x in the terms of cos-1 x.



Substituting the value of sin-1 x in equation (i),



Simplifying it further,








Multiplying cosine on both sides of the equation,



Using property of inverse trigonometry,


cos[cos-1 x] = x



And we know the value,



Therefore,


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

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1

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2

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3

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is equal to
4

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5

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6

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7

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is equal to
8

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9

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10

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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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14

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15

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16

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is equal to
17

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18

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19

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20

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21

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is equal to
22

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23

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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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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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35

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The value of is

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