RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 3 of Exercise 4.3

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3

Evaluate each of the following:


Firstly, tan = tan ……(i)


Also, coscoscos ……(ii)


From (i) and (ii),


becomes,



Now,


We know that, for any x R, represent an angle in whose tangent is x.



We know that, for any x [-1, 1], represent an angle in whose cosine is x.



Hence,


Therefore, Principal Value of is 0.


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