RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 11 of MCQ

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11

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If x < 0, y < 0 such that xy = 1, then tan–1x + tan–1y equals


We are given that,

xy = 1, x < 0 and y < 0


We need to find the value of tan-1 x + tan-1 y.


Using the property of inverse trigonometry,



We already know the value of xy, that is, xy = 1.


Also, we know that x, y < 0.


Substituting xy = 1 in denominator,




And since (x + y) = negative value = integer = -a (say).



⇒ tan-1 x + tan-1 y = tan-1 -∞ …(i)


Using value of inverse trigonometry,



Substituting the value of tan-1 -∞ in the equation (i), we get


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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