Q55 of 55 Page 35

State True or False for the statement

The principal value of is

True


Principal value of sin-1 x is


Principal value of cos-1 x is [0, π]


We have,


As, , so,




As, , so,



As, , so,




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51

State True or False for the statement

The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

 52

State True or False for the statement

The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.

 53

State True or False for the statement

The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging x and y axes.

 54

State True or False for the statement

The minimum value of n for which tan^-1 n/pi > pi /4 , n inn is valid is 5.