RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 20 of MCQ

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20

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The value of is


We need to find the value of:


Let us simplify the trigonometric function.


We can write as:



Similarly,




Since, lies on IV Quadrant and cosine is positive in IV Quadrant.



And since, lies on IV Quadrant and sine is negative in IV Quadrant.





Using property of inverse trigonometry,


sin-1(sin A) = A and cos-1(cos A) = A



=0

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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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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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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