Q1 of 29 Page 1

What is the principal value of ?

We know,


Principal value of tan-1x lies between and


As does not lie between and .


So, can be written as


Also,



We know



Also




More from this chapter

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2

A and B are square matrices of order 3 each, |A| = 2 and |B| = 3. Find |3AB|.

 3

What is the distance of the point (p, q, r) from the x-axis?

 4

Let f: R → R be defined by f(x) = 3x2- 5 and g : R → R be defined by g(x) = . Find gof.

 5

How many equivalence relations on the set {1,2,3} containing (1,2) and (2,1) are there in all? Justify your answer.